Effective Tax Rates on Consumption and Factor Incomes

57
Effective Tax Rates on Consumption and Factor Incomes: a quarterly frequency estimation for Brazil Cyntia Freitas Azevedo and Angelo Marsiglia Fasolo September, 2015 398

Transcript of Effective Tax Rates on Consumption and Factor Incomes

Effective Tax Rates on Consumption and Factor Incomes: a quarterly frequency estimation for Brazil

Cyntia Freitas Azevedo and Angelo Marsiglia Fasolo

September, 2015

398

ISSN 1518-3548 CGC 00.038.166/0001-05

Working Paper Series Brasília n. 398 September 2015 p. 1-56

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Effective Tax Rates on Consumption andFactor Incomes: a quarterly frequency

estimation for Brazil∗

Cyntia Freitas Azevedo†

Angelo Marsiglia Fasolo‡

Abstract

The Working Papers should not be reported as representing the views of the

Banco Central do Brasil. The views expressed in the papers are those of the

author(s) and do not necessarily reflect those of the Banco Central do Brasil.

This paper estimates time series of effective tax rates for consumption and factor

incomes for Brazil, following the spirit of Mendoza et al (1994)[12]. The procedure

to generate quarterly estimates of the tax base, using microdata from populational

surveys, and the tax revenues seems to be appropriate, despite its simplicity, as

the time series of the tax burden and the effective tax rates are in line with the

historical Brazilian experience on fiscal policy. The estimated tax burden identifies

a positive trend over time, despite the partial interruption after the international

crisis in 2008. The paper also provides preliminary evidence on the properties of

the computed effective tax rates and their relation with the business cycles.

Keywords: Fiscal policy; Effective tax rates; Consumption tax; Factor income

taxes

JEL Classification: E62, F41

∗We would like to thank Luis Gonzaga de Queiroz Filho, André Minella and Jeferson Luis Bittencourt

on preliminary discussions and valuable information on data sources. We also thank Pierpaolo Benigno

and members of the Research Department of the Central Bank of Brazil that contributed with helpful

comments on the first draft of this paper. We also thank the DataZoom’s website portal team, of the

Economics Department of PUC-RJ, for the codes to access microdata from IBGE. We are also indebted

to Jose Deodoro de Oliveira Filho for his help with the system to read and convert PDF files to build our

dataset. All these people provided significant support while writing this paper, but the remaining errors

are our own fault.†Research Department, Banco Central do Brasil and PUC-Rio, e-mail: [email protected]‡Research Department, Banco Central do Brasil, e-mail: [email protected]

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1 Introduction

The main purpose of this study is to construct quarterly time series of the effective tax

rates on consumption, labor and capital for Brazil. An appropriate measure of tax rates is

central for the construction of macroeconomic models that aim at evaluating the impacts

of fiscal policy. As pointed by Mendoza et al (1994)[12], "these tax rates are necessary both

to develop quantitative applications of the theory and to help transform the theory into

a policy-making tool". However, calculating these rates, specially at a higher frequency,

has proven to be a very challenging task. In Emerging Economies, where the quality and

availability of information on tax collection and its tax base are usually questionable, the

number of strong assumptions necessary to make inference about tax rates might prove

the exercise useless.

In Brazil, particularly, there are two types of problems associated with the computation

of average effective tax rates and its use as a policy-making tool. The first problem,

associated with the computation of the tax base, is a result of the lack of timely updates in

National Accounts necessary to keep the estimates of tax rates useful for policy exercises.

The National Accounts in Brazil provide estimates of labor and capital income at annual

frequency only and with very long delays. As of today, the last information available

from the Brazilian Institute of Geography and Statistics (IBGE, in Portuguese) finishes

in 2009. Thus, the construction of estimates of the effective tax rates at a frequency

higher than annual demands additional hypotheses to replace the available information

on capital and labor returns based on the National Accounts.

The second type of problem is related to information on fiscal policy in Brazil —

more specifically, on information from subnational entities of the Federation. Data on

revenues and expenses of the Federal Government are available at monthly frequency

with very little delay. For municipalities, however, detailed information from offi cial

authorities is available at annual frequency only, mostly from a recent comprehensive

dataset published by the National Treasury Secretariat ("Secretaria do Tesouro Nacional",

in Portuguese) called FINBRA. Also, in terms of tax collection, an annual study published

by the Secretariat of the Federal Revenue ("Secretaria da Receita Federal", in Portuguese)

estimates the total tax burden over the Brazilian economy for the previous fiscal year.

Building a real time estimate of effective tax rates in Brazil demands accessing information

on tax revenues and contributions to civil servants’social security system from sources

other than offi cial National authorities responsible for conducting fiscal policy in the

country.

This paper proposes solutions for these problems, trying to overcome the issues pre-

sented above using alternative sources of information and providing a detailed method-

ology to compute effective taxes in Brazil. In order to solve problems associated with

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information from subnational entities, we built a system capable of downloading, read-

ing and compiling information from reports that each subnational government is required

to submit bimonthly to a public access database run by a federal public bank (Caixa

Econômica Federal) together with the National Treasury Secretariat1. Each report is

submitted in a standard form, converted to PDF format when made available for public

consultation. Thus, the computational system must be capable of: 1) downloading, for

each unit of subnational government, the bimonthly reports in PDF format; 2) converting

reports to a format in which other software is able to read the information; 3) compiling,

with the support of other computational tools, a single, aggregate dataset of each variable

for the use in our exercises. The idea of using such system to calculate tax revenues from

states and municipalities is not new: Orair et al (2013)[15], in a parallel effort from the

development of this paper, built a similar system to obtain monthly estimates of the total

tax burden applied over the Brazilian economy. In this paper, we take a step further,

collecting also information on government spending and civil servants’contributions to

their social security system from the same set of reports. We also take a simpler approach

in order to estimate gaps in the information from municipalities, combining data from

FINBRA to fill the missing gaps.

To construct a quarterly series on labor and capital income, instead of relying on in-

formation from the National Accounts, we use microdata from three population surveys

available at different frequencies. These surveys provide information on employment and

average wages, from which we compute the aggregate labor compensation in the econ-

omy. The use of data from three different surveys required a detailed evaluation of the

labor income distribution profile over time. This information is taken into account when

building the time series of total labor income for the Brazilian economy.

In this paper, we provide annual values of effective taxes for Brazil, from 1999 until

2009, based on information from the National Treasury Secretariat, Secretariat of the

Federal Revenue and the National Accounts. We also detail the methodology employed

to build a quarterly dataset using the reports provided by subnational governments and

population surveys. Under an additional set of assumptions, given the available amount

of information collected, we were able to construct a quarterly dataset on tax revenues

and the tax base from 1999 to 2014. The comparison of annual rates with the 4-quarter

cumulative rates computed using the high-frequency dataset shows some discrepancies,

most likely due to the quality of data provided by subnational governments. Gaps between

annual data and the high-frequency dataset mostly affects the composition between capital

1Starting in 2015, the National Treasury Secretariat introduced a new system for collecting andorganizing information on the public accounts. The new system (Siconfi) summarizes data on re-gional governments collected from both SISTN and annual data from FINBRA. It is available inhttps://siconfi.tesouro.gov.br/siconfi/index.jsf

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and labor taxes, despite preserving the dynamics over time of both effective tax rates.

Given the final dataset on average effective tax rates, we also provide an initial analysis

on the sources of fluctuations in those rates. Changes in average effective tax rates are

associated with both changes in tax policy and changes in the overall state of the economy.

The paper is organized as follows. The next section discusses the literature on comput-

ing effective tax rates, with special focus on previous efforts documented for the Brazilian

economy. Section 3 outlines the methodology of computing average effective tax rates

for Brazil, following closely the work of Mendoza et al (1994)[12] and Lledó (2005)[10],

while also presenting the additional hypotheses necessary to move from the annual to the

quarterly estimates. Sections 4 and 5 apply the described methodology to compute effec-

tive rates at annual and quarterly frequencies, respectively, presenting all the necessary

adjustments due to the data collected —especially in terms of high-frequency database

on tax and contributions revenues and on the tax base. An empirical analysis of the

quarterly time series of effective tax rates is presented in section 6. Section 7 concludes.

2 Related Literature

The main reference on the computation of effective tax rates is the work of Mendoza

et al (1994)[12]. Their approach allows to estimate the effective tax rates on consumption

and factor incomes consistent with the tax distortions faced by a representative agent in

a general equilibrium framework. One of the advantages of their method is that it does

not require a rigorous treatment of the tax legislation. It is a simple method that requires

only data from the National Accounts and tax revenues statistics, allowing cross-country

comparisons. They point out to three objectives achieved by their approach: (i) it takes

into account the net effect of existing rules regarding credits, exemptions and deductions;

(ii) it separates taxes on labor income from taxes on capital income; and, (iii) it incor-

porates the effects of taxes not filed with individual income tax revenues, such as social

security contributions and property taxes, on factor income taxation. Given the authors

objective, it is an appropriate methodology to compute average tax rates, capturing the

effects of changes in tax deductions, tax credits and a general characterization of feed-

back effects on taxes from economic agents. It does not, however, measure important

movements in taxes with significant macroeconomic impacts, like changes in marginal tax

rates, as highlighted in Carey and Rabesona (2002)[3]. Average effective tax rates might

also be sensitive to other issues, like tax planning and the international taxation of capital

flows.

The work of Mendoza et al (1994)[12] and Carey and Rabesona (2002)[3] is focused on

the use of data compiled by OECD, usually available for large time spans, with detailed

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definitions and good quality control of information across countries, allowing reasonably

appropriate cross-country comparisons. As mentioned in the introduction, datasets from

Emerging Economies usually show problems that might compromise the estimates of such

tax rates2. For Brazil, specifically, there is a growing literature on the evaluation of the

impacts of fiscal policies and tax reforms. In general, these studies apply some measure of

average effective tax rates in order to calibrate models or to perform econometric analysis.

Due to the problems listed here and in the introduction —namely, the lack of accurate and

updated data on fiscal variables for long periods of time, at higher frequency and with

little delay; and the lack of details and information with regular updates from the National

Accounts with respect to the returns of labor and capital for the Brazilian economy —,

the few studies that computed effective tax rates for Brazil used annual data only.

One example of a study using estimates of effective tax rates for Brazil is provided

by Araújo and Ferreira (1999)[1], who evaluate the allocative effects and welfare impacts

of a tax reform. The authors use a neoclassical model calibrated with information of

tax rates based on total tax revenues of 1995. Cavalcanti and Silva (2010)[5] use an

overlapping generations (OLG) model to study the impact of tax reforms on GDP, capital

accumulation and welfare. Simulations estimated the effects of capital and labor tax

exemption measures, compensated by increases in income tax. They compute tax rates

based on data from the National Accounts for the year of 2004.

One of the first attempts to apply the methodology from Mendoza et al (1994)[12]

for Brazil was made by Araújo Neto and Sousa (2001)[2] to study the comovements

between macroeconomic aggregates and average effective tax rates. They make a good

correspondence between the standard OECD coding for tax revenues used by Mendoza et

al (1994)[12] and the different sources of tax revenues in Brazil. The authors were able to

compute annual average tax rates on consumption, labor and capital using data on tax

revenues and the National Accounts from 1975 to 1999. They faced, however, problems to

construct the dataset due to missing data, despite still being able to provide a relatively

long time series.

Lledó (2005)[10] constructs a dynamic general equilibriummodel to analyze the macro-

economic and redistributive effects of replacing turnover and financial taxes in Brazil by

a consumption tax. He uses an OLG model calibrated with data for 2002, computing

effective tax rates based on the framework of Mendoza et al (1994)[12], modified to in-

corporate details of the Brazilian economy and features of the OLG model. Ferreira and

Pereira (2010)[7] follow the procedure presented by Lledó (2005)[10] to calibrate a simple

RBC model to analyze the impact of a tax reform in the Brazilian economy. They assume,

2Volkerink, Sturm and de Haan (2002)[18] note that even the use of OECD data might be flawed.They compute the effective tax rates for a group of OECD countries using data from local, nationalsources and find significant discrepancies in results compared to Mendoza et al (1994)[12].

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from the first order conditions of the model, that the tax base is proportional to changes

in aggregate output, as the labor and capital shares are determined by a single parameter

of the production function.

While the previous two papers calibrate models using information from a single year,

Pereira (2009)[16] computes effective tax rates on consumption, individual income, labor

income and capital income from 2001 to 2005. The author follows the methodology pre-

sented by Mendoza et al (1994)[12], adapted to specific features of the Brazilian economy,

in order to build the dataset used to calibrate a model to analyze the impact of fiscal

policies on business cycles.

Finally, other alternatives to compute effective tax rates are based on a combination

of input-output tables and microdata, using disaggregated information to analyze the

inequality of the tax burden over the economy. While not avoiding the hypothesis of

a full pass-through of taxes to consumers, studies based on disaggregated data provide

useful information on marginal tax rates. For Brazil, Siqueira et al (2001)[17] use infor-

mation from input-output tables of 1995 to compute effective tax rates on consumption

for Brazil, disaggregating information on economic sectors and tax incidence over demand

components for Brazil. More recently, Nogueira et al (2013)[13] use microdata from two

population surveys to simulate a model, trying to estimate the tax burden inequality over

labor income for the Brazilian economy in 2009. The model simulated in Nogueira et al

(2013)[13] receives as an input not only survey data, but also information from Brazilian

legislation on tax rates. The idea of using information from the legislation as an input

for modelling purposes was adopted in Carvalho and Valli (2011)[4] to calibrate a DSGE

model for the Brazilian economy.

Previously mentioned literature worked only with annual data on tax revenues and

the National Accounts. To the best of our knowledge, the first attempt to construct a

high-frequency database on tax revenues for Brazil was made by Orair et al (2013)[15].

The authors estimate the Brazilian tax burden at monthly frequency from 2002 until

2012. Their estimation of subnational government information on taxes is very precise,

mostly by their effort on building a complex state-space model to estimate high-frequency

time series based on low-frequency information available. The compilation of a dataset

of tax revenues of subnational entities is analogous to what is done in this paper, with

the development of a system capable of reading several reports from PDF files. As said

before, the main focus of Orair et al (2013)[15] is on the evolution of the tax burden; our

paper, on the other hand, combines information on tax revenues with a high-frequency

inference on the tax base to compute effective tax rates.

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3 Computing Effective Tax Rates

This section details the methodology employed to compute the average effective tax

rates for Brazil, both at the annual and quarterly frequencies. We closely follow the

presentation in Lledó (2005)[10], who adapted the basic methodology of Mendoza et al

(1994)[12] to Brazil, to discuss the computation of effective rates for the country. The

section starts providing some context on the way effective tax rates are computed here,

with possible applications in a general equilibrium framework. It follows with details

on the definitions of tax rates on consumption, labor and capital income, followed by

a presentation on the adjustments performed when working with quarterly data, with

the necessary adaptations to the specificities of the Brazilian tax system. A complete

description of datasets, along with a discussion on the appropriate separation of taxes

under each class, are presented in the next section.

3.1 Effective Tax Rates in General Equilibrium

This subsection relates the average effective tax rates computed in this paper with

a very broad framework of dynamic general equilibrium models. The objective is to

provide context on the incidence of taxes in theoretical models, while also outlining a few

diffi culties when dealing with Brazilian data. Despite its relevance, the general equilibrium

framework presented here does not include any form of heterogeneity on households or

firms. A few topics related to agents’ heterogeneity, like the effects of labor income

distribution on effective tax rates on labor, are discussed on section 6.

A general description of the budget constraint of a representative household includes

the total spending on consumption goods (ct), investment on capital goods (it) and gov-

ernment debt holdings (bt), on the expenses side. On the revenues side, it includes interest

received on previously held government debt (rtbt−1), returns on production factors (wthtand rkt kt as the returns on labor supply and capital rental, respectively) and firms’profits

(φt) (all variables in nominal terms). Spending on consumption goods includes the ex-

penditure on taxes levied exclusively on those goods and paid by households, τ c,h. Gross

capital and labor incomes are net of taxes paid by households —τ l,h and τ k,h, respectively.

In order to account for taxes levied on general income, that cannot be split in terms of

capital and labor, the budget constraint also includes an additional tax rate (τ y), equally

charging the household’s returns on the production factors3.

(1 + τ c,h) ct + it + bt = rtbt−1 + (1− τ l,h − τ y)wtht + (1− τ k,h − τ y) rkt kt + Φt (1)

3If the model does not allow for taxes on aggregate income, one can use (τ l,h + τy) as the effectivetax rate on labor and (τk,h + τy) as the effective tax rate on capital levied on households.

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On the firms’side, profits are generated by the revenue of selling output, minus pay-

ments to labor and capital used during the production process. Output (yt) is consumed

by households (ct), and the government (gt) or used as investment good (it). Similar to

the equation describing the households’budget constraint, there are taxes levied on the

output sold as a consumption good4, τ c,f , on total payroll, τ l,f , and rented capital, τ k,fthat are paid by the firm.

Φt = (1− τ c,f ) (ct + gt) + it − (1 + τ l,f )wtht − (1 + τ k,f ) rkt kt (2)

yt = ct + gt + it = wtht + rkt kt (3)

In the analytical example described above, revenues from the general income tax rate

are given by5:

Ty = τ y(wtht + rkt kt

)Similarly, tax revenues on consumption, labor and capital income are computed using

the total revenues collected from households and firms:

Tc = (τ c,h + τ c,f ) (ct + gt) Tl = (τ l,h + τ l,f )wtht Tk = (τ k,h + τ k,f ) rkt kt

Once information on tax revenues is available, effective tax rates on consumption (τ c),

income (τ y), labor income (τ l) and capital income (τ k) are computed using the definition

of their respective tax bases:

τ c =Tc

ct + gtτ y =

Tywtht + rkt kt

τ l =Tlwtht

τ k =Tkrkt kt

The equations above highlight two important features of computing average effective

tax rates. First, calculating aggregate tax rates does not depend if taxes are levied on

households or firms, since, in general equilibrium, taxes levied on firms are also affecting

households’decisions, either through the pricing and production decisions of the firms, or

through the profits transferred to families. Only two pieces of information are necessary

to calculate such tax rates —tax revenues and the tax base —and this information does

not depend on the agent of the economy charged with the tax.

Second, disaggregated measures of effective tax rates are conditioned on the informa-

tion set on tax revenues. For Brazil, as sections 4 and 5 show, information on labor income

taxes allows a reasonable approximation of effective rates levied on firms and households,

τ l,h and τ l,f . Unfortunately, the same disaggregation is not possible with respect to taxes

4In this example, without loss of generality, assume that goods demanded for investment are not taxedby the government.

5For the sake of notation, define Tx as the total revenue from taxes over aggregate x. Define also τxas the effective tax rate over aggregate x.

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on consumption and capital income.

Ideally, if data on tax revenues and the tax base were readily available, it would be

simple to compute average effective rates for a simple economy like the one described

above. The main challenge here is to build both types of datasets, specially at higher

frequency, where detailed information is scarce. The adjustments applied to Brazilian

data in order to compute the effective tax rates both at annual and quarterly frequencies

are discussed in the rest of the section.

3.2 Effective Tax Rate on Consumption

The effective average tax rate on sales of consumption goods is given by:

τ c =Tc

C +G−GW − Tc(4)

where Tc represents the total revenue from taxes on consumption of goods and services

and excise taxes. C and G are the National Accounts data on private and government

consumption, respectively. GW is the compensation of government employees. In order

to obtain the pre-tax value of consumption, which is the definition of the tax base, rev-

enues on consumption tax are discounted in the denominator, since the Brazilian National

Accounts measure consumption expenditures at post-tax prices.

For the sake of comparison, Pereira (2009)[16] does not include government consump-

tion on the tax base. Here, as in Mendoza et al (1994)[12], government consumption is

included, net of the compensation of government employees (G−GW ), as the tax revenuesstatistics include taxes paid by the government in the purchase of goods and nonfactor

services.

3.3 Effective Tax Rates on General Income

The major problem associated with the definition of tax rates on labor and capital

income is the identification of the tax burden over household’s labor and capital income.

The problem, pointed out by Mendoza et al (1994)[12] and also observed in Brazilian data,

is that information sources usually do not provide a clear breakdown of the tax incidence

over individual income. In order to overcome this problem, Mendoza et al (1994)[12]

assume that all sources of household’s income from labor supply and capital rental are

taxed at the same rate when directly taxed.

In the framework of Mendoza et al (1994)[12], the tax rate over individual income is

computed as a first step to obtain tax rates over labor and capital incomes. In the second

step, an exogenous parameter defining a constant labor share of income is used to split tax

revenues and tax base for each production factor. Lledó (2005)[10] points out that this

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imputation assumes a symmetric tax treatment between labor and capital income. As in

Lledó (2005)[10], equation 1 allows an effective tax rate on household’s general income to

coexist with separate taxes on capital and labor. The effective tax rate on total individual

income is then given by:

τ y =Ty

W +RMB + EOB(5)

where Ty is the total revenue collected by the individual income tax rate. The denom-

inator is defined as the net domestic income, which is the sum of wages and salaries (W ),

gross mixed income6 (RMB) and the gross operating surplus (EOB), obtained from the

National Accounts. The sum W + RMB + EOB corresponds to the income households

receive from labor supply and capital rental, wtht + rkt kt.

3.4 Effective Tax Rates on Labor and Capital

Once income taxes are properly classified based on its incidence, the final step to

compute effective tax rates is to use information from the National Accounts to split

household’s income from labor supply (wtht) and capital rental (rkt kt). Mendoza et al

(1994)[12] define wages and salaries, W, as labor income, and the sum of RMB and EOB

as capital income. On the other hand, Lledó (2005)[10] considers the gross mixed income,

RMB, as part of labor compensation, arguing that most of this income is generated from

small labor-intensive unincorporated enterprises (physicians, attorneys, etc.).

Pereira (2009)[16] assumes that income distribution follows the shares of capital and

labor in a Cobb-Douglas production function (capital share defined here as α). These

shares are also used to distribute the pre-tax income of the economy, setting the tax base

for labor, (1− α) (W +RMB + EOB) , and capital taxes, α (W +RMB + EOB). This

method has the advantage of avoiding additional assumptions over income distribution.

However, the usual procedure to calibrate α sets restrictions for the source of gross mixed

income, RMB. At the same time, as said before, setting a single value for α imposes that

the share of labor and capital income are constant over time.

Following Lledó (2005)[10] and Considera and Pessoa (2011)[6], assume that labor

remuneration, wtht, is equal to wages and salaries plus gross mixed income, W + RMB,

while capital income, rkt kt, is given by EOB. Once the tax base is properly defined, the

tax rate on labor income is given by:

τ l =Tl

W +RMB(6)

where Tl is the total revenue of taxes over households’labor income and social security

6Gross mixed income is the compensation received by the owners of unincorporated enterprises (self-employed), which can not be separately identified between capital and labor.

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contributions. In an analogous way, the tax rate on capital income is given by:

τ k =Tk

EOB(7)

where Tk is the total revenue obtained by taxes over capital income, especially income

from corporations and taxes on property and financial transactions.

3.5 Effective Tax Rates at Quarterly Frequency

Computing effective tax rates at quarterly frequency is not straightforward from the

framework outlined above. While the high-frequency database on tax revenues con-

structed in section 5.1 contains the same information of the annual database (Tc, Ty, Tl and Tk),

additional steps are necessary to compute quarterly time series of the tax base used in

equations 5, 6 and 7. The tax rate on consumption, τ c, is still given by equation 4, as

every component of the tax base is also available at quarterly frequency.

In Brazil, the National Accounts provides data on total factor income only at annual

frequency. In order to overcome this problem, notice first that, using the Income Approach

of National Accounts, the gross domestic income of the economy (Y ), net of taxes paid

over production, is given by the total income received by residents from labor (wtht) and

capital (rkt kt):

Y −Net Taxes = wtht + rkt kt = W +RMB + EOB (8)

In order to build the denominator in equation 5, the left-hand side of equation 8 is

approximated by the difference between gross domestic product (GDP) and a set of taxes

classified in Orair at al (2013)[15] as part in the National Accounts of total taxes on

production7, available at quarterly frequency. In Pereira (2009)[16], this denominator is

defined as the difference between GDP and total taxes on consumption, Y − Tc. While asignificant share of the so-called "taxes on production" is classified as taxes on consump-

tion, the procedure in Pereira (2009)[16] ignores that some taxes over labor income are

also significant in the actual composition of "net taxes" in the National Accounts8. Under

this assumption, the quarterly effective tax rate on individual income is given by:

τ y =Ty

Y −Net Taxes (9)

7The lack of quarterly information in the National Accounts forces a decision to ignore the value ofthe subsidies to production. We recognize that this procedure might not be appropriate, as subsidiesrepresent, on average, 1.8% of GDP over the period analyzed.

8The actual composition of our approximation of "net taxes" and the differences in classification oftaxes with respect to other papers in the literature are presented in section 4.

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The total pre-tax labor income, wtht, is defined in the National Accounts as the sum

of the gross wage income received by the labor force, WI, and the share of social security

contributions charged on firms’payroll, FC :

wtht ≡ WI + FC (10)

Section 5.2.2 describes the procedure based on population surveys used to construct

a quarterly time series for WI. It also shows the main sources of information to build

a dataset for FC, using only the contribution paid by employers to the social security

system. The quarterly effective labor income tax rate is, then, defined by:

τ l =Tl

WI + FC(11)

Capital income is calculated as a by-product of the estimate of pre-tax labor income,

according to equation 8:

rkt kt ≡ Y −Net Taxes−WI − FC (12)

implying the effective tax rate over capital income at quarterly frequency to be given by:

τ k =Tk

Y −Net Taxes−WI − FC (13)

4 Tax Rates at Annual Frequency

This section computes effective tax rates at annual frequency using a dataset on tax

revenues available from reports of the Secretariat of the Federal Revenue measuring the

total tax burden over the Brazilian economy9. Data on tax revenues are presented only

at annual frequency and cover the period between 1999 to 2013. Taxes and contributions

used to build the dataset in this section are exactly those with information available at

higher frequency. Under the criterion of using the same set of taxes and contributions

at both frequencies, the final dataset covers, on average, 96.83% of total tax revenues

for the period. Compared to the dataset at quarterly frequency, the major difference is

related to the concept of tax revenues: monthly time series of tax revenues, used to build

the quarterly dataset, show the gross tax revenues; on the other hand, annual reports of

the Secretariat of the Federal Revenue show net tax revenues, defined as gross revenues

minus refunds. The effects of using gross or net tax revenues are discussed in subsection

9Reports in Portuguese named "Carga Tributária no Brasil" available at:http://www.receita.fazenda.gov.br/historico/esttributarios/Estatisticas/default.htm

14

Table 1: Classification of Taxes and Contributions

Tax This StudyPereira(2009)

Lledó(2005)

% TotalRevenue*

ICMS, IPI, II and ISS Consumption 29.2%

Cide Consumption Consumption — 0.7%

Cofins, IOF Consumption Capital Income 12.6%

IRPF Income 1.1%

IRRF/Remittances

and IRRF/OthersIncome — — 1.6%

PIS / PASEP Labor Capital Income 2.9%

FGTS,RGPS,

CPSS(FederalGov.),

CPSS (States) and

CPSS (Municipalities)

Labor 24.1%

IRRF/Labor Labor — — 4.9%

ES + "S" System Labor Capital Labor 1.6%

IRPJ, CSLL Capital 9.4%

IRRF/Capital Capital — — 2.8%

ITCMD Capital Capital — 0.1%

ITR, IPVA, CPMF,

IPTU and ITBICapital Capital Income 5.7%

* Average participation of the set of taxes on total revenues over the period 1999-2013.

5.1. There are also few differences related to revenues of municipal taxes and in terms of

aggregation of state and federal taxes from monthly time series.

The tax classification used in this study is based on the mapping from the National

Accounts presented in Orair et al (2013) [15]. The authors designed a mapping to match

the classification recommended in the Government Finance Statistics Manual of the IMF,

structured in terms of the base of incidence of the taxes, and the one used in the System

of National Accounts, designed by the United Nations. Table 1 presents the classification

and highlights the differences with the literature10, namely the work of Pereira(2009)[16]

and Lledó (2005)[10]. The last column of the table 1 shows the average participation of

each set of taxes on total tax revenues in the period 1999-2013.

There is a complete agreement on the classification of taxes for almost two-thirds of

total tax revenues. Regarding discrepancies on the remaining third of total revenues, a few

issues should be highlighted. First, related to the classification of PIS / PASEP, Cofins

and IOF, for which there is no agreement between the classification in this study and the

other two. Since these three taxes represent, on average, almost 16% of total tax revenues,

10Along the text, we use the shortened names of the taxes, but Appendix C presents their completenames in Portuguese and in English, along with a short description.

15

their classification have a significant impact on the effective tax rates calculated as will

be discussed below. With respect to PIS / PASEP, those taxes are indeed social security

contributions made by firms in the name of employees. Thus, even if these contributions

directly affect firms’profits, they constitute part of the pre-tax labor income from the

perspective of the National Accounts. In the case of Cofins, despite being a very similar

contribution to PIS / PASEP, the absence of a direct link between the collection of the

revenue and the transfer to social security activities might be the reason Orair et al (2013)

[15] classified Cofins as a tax on products. The tax base of Cofins is strictly related to

firms’revenues and there is no direct return to employees, despite its name suggesting

a contribution to social security activities. Finally, IOF is a tax affecting a significant

number of financial transactions. Despite the impact on capital allocation, the effects of

IOF are mostly noted on the use of payment instruments and their effects on consumption.

As a consequence, Orair et al (2013) [15] define IOF as a tax on products, instead of a tax

affecting production. Also related to the classification of taxes, while Pereira (2009)[16]

defines contributions to the "S" System and Education Salary (ES) as taxes over capital

income, this paper follows Lledó (2005)[10] in classifying these contributions as a tax over

labor income, since both are based on firms’payroll.

The second discrepancy with respect to the literature is related to data sources: this

paper uses disaggregated data on Withholding Income Tax (IRRF), available from Sec-

retariat of the Federal Revenue and published at Ipeadata11. With this information, it is

possible to separate tax revenues in terms of its incidence over labor and capital income,

leaving those from Remittances and Others under the individual income class. Pereira

(2009)[16] only uses the aggregate numbers for IRRF, classifying it entirely under the

individual income class. Lledó (2005)[10] do not mention including IRRF on their tax

revenues classification.

Most of data used to construct the tax base comes from National Accounts, available

at the IBGE database12. Gross domestic product, private consumption and government

spending data come from the expenditures accounts, while wages and salaries (W ), gross

mixed income (RMB) and the gross operating surplus (EOB) come from the Supply

and Use Table ("Tabela de Recursos e Usos", in Portuguese). Unfortunately, the lack of

information on factor income from the National Accounts limits the analysis to a span

between 1999 and 2009. Data on the compensation of government employees (GW ) was

constructed with data for payroll and social charges for the three levels of government

(Federal, State and Municipal) from Ipeadata.

Table 2 shows average effective tax rates at annual frequency. For comparison, the

11Ipeadata is a free dataset mantained by IPEA, a thinktank in economic and social policies mantainedby the Brazilian government. The website content is available at http://www.ipeadata.gov.br/.12Available at http://www.sidra.ibge.gov.br/

16

table also includes values presented in Pereira (2009)[16] and Lledó (2005)[10], combined

with a partial sample analysis for each paper: effective tax rates are recalculated using

our own dataset, but under the tax classification and time span of each author. The

adjustment of dataset closes the gap between estimates in terms of different methodologies,

while the adjustment of time span accounts for the dynamics of tax rates.

From results at Table 2, the effective tax rate on consumption (τ c) is much higher in

our study (25.3%), mainly reflecting the classification of IOF and Cofins as consumption

taxes. These two taxes have a significant impact in terms of effective tax rates, as they

represent, on average, 12.6% of total tax revenues. Under Pereira’s (2009)[16] and Lledó’s

(2005)[10] classification, for the same time span, effective tax rates on consumption in our

database become closer to values presented in their work.

Most of the differences observed on individual income taxes (τ y) reflect different as-

sumptions regarding the tax classification, since the tax base is the same in all three

studies. To be more specific, Pereira (2009) does not present his final figures for income

tax. However, using our annual dataset, note that the estimated value for income tax

considerably increases (from 1.0% to 4.1%) by defining revenues of IRRF under that

category13. Lledó (2005)[10] obtains the highest tax rate over individual income, as he

includes under that category a significant set of taxes, like Cofins, PIS / PASEP and

CPMF, representing, on average, 21.3% of total tax revenues. Unfortunately, even after

adjusting for Lledó’s (2005)[10] classification of taxes, there is a significant gap in terms

of effective tax rates on individual income (8.5%, versus 13.4% from our estimates). Most

of this gap seems to be related to different figures in terms of total tax revenues14.

Regarding effective tax rates on labor (τ l) and capital income (τ k), there is a significant

discrepancy between our figures and the other two. Lledó’s (2005)[10] model presents a

separate tax rate for social security contributions, resulting in lower labor tax rates overall.

On average, General Social Security System (RGPS, in Portuguese) accounts for 15.9%

of total tax revenues in the period. Another difference is related to a large group of the

taxes classified as capital taxes here and under the individual income class in his work.

Even after adjusting for his classification, results in our partial sample analysis are slightly

smaller because of discrepancies in estimates of the tax base: Lledó (2005)[10] shows a

large share for EOB/Y in 2002, compared to our figures.

The comparison with Pereira (2009)[16] is a little more diffi cult, as the author do not

keep a general income tax as a separate category in the theoretical model, apart from

13From Table 1, aggregate IRRF on labor and capital correspond to approximately 7.5% of total taxrevenues.14More specifically, figures on the tax burden on individual income tax (IRPF) reported by Lledó

(2005)[10] in table A-1 do not match our estimates, suggesting that the author included WithholdingIncome Tax (IRRF) together with IRPF.

17

Table 2: Average Effective Tax Rates

FullSample:1999-2009

Pereira(2009):2001-2005

PartialSample:2001-2005

Lledó(2005):2002

PartialSample:2002

τ c 25.3% 15.9% 17.0% 16.8% 16.3%

τ y 1.0% — 4.1% 13.4% 8.5%

τ l 21.0% 17.6% 14.7% 8.0% 5.9%

τ k 17.7% 34.5% 30.2% 9.5% 8.8%

labor and capital income taxes. He adopts the methodology of Mendoza et al (1994)[12]

of using the general income tax as a first step to compute factor income taxes. The

procedure uses the shares of capital and labor in a Cobb-Douglas production function,

as defined in section 3.4, to compute the pre-tax income of the economy. The share of

the general income tax revenue is added to the tax revenues allocated under each specific

class. This methodology generates higher effective rates, as the use of a constant capital

share in the tax base and in the general tax revenues implies:

τ l =τ y (1− α) (W +RMB + EOB) + Tl

(1− α) (W +RMB + EOB)= τ y +

Tl(1− α) (W +RMB + EOB)

τ k =ατ y (W +RMB + EOB) + Tk

α (W +RMB + EOB)= τ y +

Tkα (W +RMB + EOB)

Another source of discrepancy with Pereira (2009)[16], is related to disagreements in

tax classification. First, the specific set of taxes previously discussed in Lledó (2005)[10],

classified as a general income tax (IOF, Cofins and PIS / PASEP), are classified in Pereira

(2009)[16] as taxes on capital income. Pereira (2009)[16] also includes contributions to

the "S" System, and Education Salary (ES) under the same category. Defining all these

contributions and taxes as capital income taxes obviously results in higher estimates for

tax rates. However, after adjusting for tax classification and the methodology to compute

tax rates, the difference between our estimates and the numbers presented in Pereira

(2009)[16] are quite small, mostly a consequence of the definition of the tax base.

From the analysis above, it becomes clear that the computation of effective tax rates

are very sensitive to the criterion adopted to classify taxes. In this paper, tax classification

is based on previous studies where fiscal statistics are in complete agreement with System

of National Accounts. This criterion allows for the future development of a coherent

framework for fiscal policy analysis, as policy instruments (in this case, taxes) will have

a clear link, described in the National Accounts, to macroeconomic aggregates. In the

18

next section, we present the main contribution of this paper, which is the estimation of

the effective tax rates at quarterly frequency.

5 Tax Rates at Quarterly Frequency

The main objective of this section is to calculate time series of effective tax rates

for consumption, individual, labor and capital incomes at quarterly frequency. While

most of the information on tax and contribution revenues at the federal level is avail-

able at monthly frequency, the main challenge to compute time series of the tax rates

were related to obtaining information on municipal taxes and the contributions for the

civil servants’social security system from subnational governments. In terms of the tax

base, data of expenditure from the National Accounts are readily available at quarterly

frequency, but the Supply and Use Table only provides delayed information at annual

frequency. As a consequence, this section also provides details on the procedures adopted

to estimate capital and labor compensations and payroll and social charges of subnational

governments.

5.1 Data Sources on Tax Revenues

Table 3 presents the dataset on taxes and contributions revenues at monthly frequency

considered here, with their respective classification, jurisdiction, data sources and time

span. The last column of table 3 shows the average share of each revenue on the total

classified revenues. Again, for the sake of reference, this dataset represents 96.83% of total

tax revenues of the country. Most of data on federal and state taxes are readily avail-

able at the website of Ipeadata. The series of contributions to the FGTS was obtained

from the FGTS website15. Data on Education Salary (ES) and Contributions to the "S"

System are from the Central Bank of Brazil’s Time Series Dataset16. Data on contri-

butions to RGPS and civil servants’social security contributions of federal government

employees (CPSS/Union) are obtained from the monthly report of the National Treasury

Secretariat17.

Most of the problems related to building a dataset on tax and contributions revenues

resided on obtaining information on municipal taxes (IPTU, ITBI and ISS) and contribu-

tions to the civil servants’social security system of subnational governments —CPSS/State

15Available at http://www.fgts.gov.br.16Website: http://www.bcb.gov.br/?TIMESERIESEN. The series is called "Previdência social (Fluxos)

—Despesas —Transferências a terceiros" under the identification number 2286. These are contributionsthat the National Institute of Social Security (INSS, in Portuguese) collects and transfers to the respectiveentities.17Available at www.tesouro.fazenda.gov.br/resultado-do-tesouro-nacional.

19

Table 3: Data on Tax Revenues at Monthly Frequency

Tax Class JurisdictionDataSource

DataInterval

% TotalRevenue*

IPI, Imports, Cide,

Cofins and IOFτ c Federal Ipeadata Jan/99—Dez/14 19.3%

ICMS τ c State Ipeadata Jan/99—Dez/14 22.6%

ISS τ c MunicipalSISTN

FINBRA

Jan/06—Dez/14

1999—20142.3%

IRPF,

IRRF/Remittances

and IRRF/Others

τ y Federal Ipeadata Jan/99—Dez/14 2.9%

FGTS τ l Federal FGTSwebsite

Jan/99—Dez/14 5.1%

IRRF/Labor and

PIS / PASEPτ l Federal Ipeadata Jan/99—Dez/14 8.1%

ES and

"S" Systemτ l Federal BCB Jan/99—Dez/14 1.5%

RGPS and

CPSS/Federalτ l Federal RTN

AnnexJan/99—Dez/14 18.1%

CPSS/State τ l State SISTN Jan/99—Dez/14 0.6%

CPSS/Municipal τ l Municipal SISTN Jan/99—Dez/14 0.2%

IRPJ, CSLL τ k Federal Ipeadata Jan/99—Dez/14 10.3%

ITR and

IRRF/Capitalτ k Federal Ipeadata Jan/99—Dez/14 2.9%

CPMF τ k Federal Ipeadata Jan/99—Mar/12 2.3%

IPVA and ITCD τ k State Ipeadata Jan/99—Dez/14 1.8%

IPTU and ITBI τ k MunicipalSISTN

FINBRA

Jan/06—Dez/14

1999—20141.8%

* Average participation of the set of taxes on total tax revenues over the period 1999 - 2014.

20

and CPSS/Municipal. The next subsections discuss: (i) the details of the procedure to

reconcile the few public datasets available on subnational government spending and rev-

enues; (ii) the final information set on tax revenues at quarterly frequency.

5.1.1 Subnational Governments Data Construction Using SISTN

Every year, the National Treasury Secretariat publishes a large dataset called FIN-

BRA18, with information on the annual balance of municipalities. Municipalities are

required to report detailed information, otherwise being subject to sanctions to finance

debt in financial markets19. The dataset consolidated by the National Treasury Secretariat

provides details on tax collection, but unfortunately misses information on social security

contributions and government employees payroll. One of the main sources of information

to FINBRA is a system called SISTN ("Sistema de Coleta de Dados Contábeis dos Entes

da Federação", in Portuguese), created in 2000 and with detailed information starting in

2006. Municipalities are required by law to send periodical reports to this system, where

those reports are made available for public consultation20.

One report submitted by states and municipalities to SISTN is particularly impor-

tant for our purposes: a simplified bimonthly report called RREO (Summary Report

of Budget Execution, "Relatório Resumido de Execução Orçamentária", in Portuguese)

provides details on the main taxes and contributions collected at subnational level. Al-

though RREOs are submitted bimonthly, the information on taxes and contributions are

presented at monthly frequency for the previous 12 months. RREOs also provide in-

formation on civil servants’social security contributions, at monthly frequency, and on

government employees payroll and social charges, at bimonthly frequency21.

Unfortunately, it is not possible to extract from SISTN a single report consolidating

information over time or across subnational entities. In order to work with SISTN, it

was necessary to build a system capable of downloading reports in PDF format for every

individual subnational government entity, for every period of time; convert the PDF

reports to a format able to read and process the information in those reports; and compile

the final dataset, summarizing information from all reports. This process demanded a

significant computational effort, where three VBA routines were developed to handle the

first two tasks. The first routine was built to download the correspondent PDF file for

18Available at http://www.tesouro.fazenda.gov.br/en/contas-anuais.19The requirement of sending reports to the Federal Government is described in sections II, III and IV

of the Fiscal Responsibility Law (Complementary Law 101, of May 4th, 2000).20Available at https://www.contaspublicas.caixa.gov.br/sistncon_internet/index.jsp . See footnote 1

about the modernized system implemented by the National Treasury.21Details on how we handle bimonthly information on payroll and social charges are presented in

subsection 5.2.1.

21

each RREO, for the 5568 municipalities, 26 states and the Federal District22, from 2006

to 201423. The second routine reads every PDF file and converts the information to TXT

files. The third routine reads the TXT files and extracts only information on tax revenues,

government spending and social security contributions to build the aggregate dataset.

In order to evaluate the quality of the data on municipal taxes revenues (IPTU, ITBI

and ISS) collected from SISTN, Table 4 presents the annualized data from SISTN between

2006 and 2014 and the values reported for every year in FINBRA. It also shows the number

of municipalities, including the Federal District, that have information on FINBRA and

submitted a valid report24 on SISTN. The coverage of FINBRA database (on average,

94.8%, 94.1% and 96.5%, for IPTU, ITBI and ISS, respectively) is larger than the coverage

observed on SISTN (on average, 71.1%, 71.8% and 72.7%, for IPTU, ITBI and ISS,

respectively). In terms of number of municipalities reporting information, both databases

show a decrease in participation rate over the years, with a more accentuated fall in

SISTN.

The decline in the number of municipalities reporting information to SISTN and FIN-

BRA does not correspond to a decline in the ratio of aggregate taxes reported to SISTN

over taxes presented in FINBRA. That means, even with a significant decline in the

number of cities providing reports to SISTN, relative to those presenting information to

FINBRA, the loss in terms of aggregate taxes does not seem to be significant. The main

reason for that is the unequal distribution of tax collection across municipalities, with a

small number of large cities (in terms of population size) generating a large share of total

tax collection. Figure 1 summarizes the information on the distribution of taxes based on

city’s population and the precision of SISTN data, compared to data on FINBRA. The

first row of graphs in figure 1 shows that, on average, municipalities with at least 100,000

inhabitants —299 cities —collect 86% of total IPTU and ISS revenues and 80% of total

ITBI revenue. Moving one step further, municipalities with at least 50,000 inhabitants —

638 cities —collect, on average, 92% of total IPTU revenues, 91% of total ISS revenues

and 87% of total ITBI revenues.

The second row of graphs in figure 1 shows that, despite the unequal distribution of

tax collection across cities, data seem to have good quality, as the discrepancy between

22The Federal District is a special subnational entity that includes the Nation’s capital. Its organizationin terms of taxes is similar to a state without municipalities: the Federal District’s Government (GDF, inportuguese) collects all taxes that other states in the country are able to collect, plus municipal taxes likeIPTU, ITBI and ISS. GDF reports all tax revenues on its RREOs. This data was checked for consistencywith information from the annual balance of GDF.23This gaves us 192,318 reports for municipalities and 1,289 reports for the states and the Federal

District.24Here, an RREO is considered a valid report for the analysis, if there is at least a non-zero entry for

a given tax in any month of the year. If the municipality reported only zeros as the tax collection for afull year, it is considered as an invalid/missing report.

22

Table4:ComparisonofAnnualDatafrom

FINBRAwithAnnualizedDatafrom

SISTN

2006

2007

2008

2009

2010

2011

2012

2013

2014

IPTU(inR$millions)

FINBRA

10,872.3

11,907.8

12,725.2

14,177.5

16,362.7

18,378.3

20,245.6

22,631.2

24,133.5

#municipalities

5,268

5,359

4,947

5,382

5,401

5,271

5,089

5,185

4,288

(%oftotal)

94.6%

96.2%

88.8%

96.6%

97.0%

94.7%

91.4%

93,1%

77,0%

SISTN

10,759.5

11,580.3

12,691.6

15,198.8

16,181.5

18,134.8

20,890.5

21,948.4

23,089.7

#municipalities

4,213

4,185

4,135

4,107

4,058

3,979

3,906

3637

2821

(%oftotal)

75.7%

75.1%

74.3%

73.7%

72.9%

71.4%

70.1%

65.3%

50.7%

AdjustedIPTU

10,912.6

11,914.5

12,824.0

14,186.5

16,384.9

18,413.1

20,322.8

22,753.5

25,510.5

ITBI(inR$millions)

FINBRA

2,451.7

3,203.4

3,966.4

4,167.5

5,569.8

6,865.5

7,886.0

9,335.7

9,437.2

#municipalities

5,249

5,315

4,907

5,356

5,354

5,212

5,020

5190

4282

(%oftotal)

94.3%

95.4%

88.1%

96.2%

96.1%

93.6%

90.1%

93.2%

76.9%

SISTN

2,531.1

3,131.2

3,942.6

4,103.5

5,446.1

6,699.3

7,911.5

9,105.4

8,488.6

#municipalities

4,522

4,128

4,079

4,036

4,002

3,894

3,831

3646

2863

(%oftotal)

81.2%

74.1%

73.2%

72.5%

71.9%

69.9%

68.8%

65.5%

51.4%

AdjustedITBI

2,468.0

3,226.6

4,012.4

4,178.6

5,576.2

6,882.1

8,030.7

9,457.7

9,865.7

ISS(inR$millions)

FINBRA

16,868.5

19,749.4

23,403.3

26,086.7

31,335.3

36,532.4

42,204.7

45,835.6

47,754.1

#municipalities

5,422

5,513

5,050

5,487

5,470

5,339

5,161

5323

4391

(%oftotal)

97.4%

99.0%

90.7%

98.5%

98.2%

95.9%

92.7%

96.6%

78.8%

SISTN

17,178.4

19,045.6

23,005.7

25,225.3

30,326.7

35,248.6

41,360.3

44,313.1

43,508.6

#municipalities

4,638

4,201

4,149

4,099

4,049

3,941

3,909

3691

2899

(%oftotal)

83.3%

75.4%

74.5%

73.6%

72.7%

70.8%

70.2%

66.3%

52.1%

AdjustedISS

17,070.3

19,753.0

23,682.3

26,134.2

31,367.6

36,582.6

42,539.2

46,216.4

50,181.3

23

Figure 1: Local Taxes —Distribution by population sizeand Weighted Difference SISTN-FINBRA

2006 2007 2008 2009 2010 2011 2012 2013 20140

0.2

0.4

0.6

0.8

1IPT U ­ T ax collect ion by populat ion  ­ %

Pop. <  50,000 Pop. [50,000 100,000] Pop. >  100,000

2006 2007 2008 2009 2010 2011 2012 2013 20140

0.2

0.4

0.6

0.8

1IT BI  ­ T ax collect ion by populat ion ­ %

2006 2007 2008 2009 2010 2011 2012 2013 20140

0.2

0.4

0.6

0.8

1ISS ­ T ax collect ion by populat ion  ­ %

2006 2007 2008 2009 2010 2011 2012 2013 20140

0.2

0.4

0.6

0.8

1IPT U ­ G ap weighted by  tax collect ion ­ %

|0% 0.01%| |0.01% 5.0%| |5.0% 25.0%| |25.0% 50.0%| |50.0% 75.0%| |75.0% 100%| > |100%|

2006 2007 2008 2009 2010 2011 2012 2013 20140

0.2

0.4

0.6

0.8

1IT BI  ­ G ap weighted by tax collect ion  ­ %

2006 2007 2008 2009 2010 2011 2012 2013 20140

0.2

0.4

0.6

0.8

1ISS ­ G ap weighted by  tax collect ion  ­ %

FINBRA and SISTN data, weighted by city’s share of total tax collection, is very small.

More than 90% of the cumulative annual value of taxes in SISTN have an error between

zero and 5%, compared to information from FINBRA. In a more restrictive perspective,

between 2006 and 2007, more than 80% of the tax collection has an error smaller than

0.01%. The share of tax collection with gaps smaller than 0.01% between FINBRA and

SISTN has decreased over time, but still remains above 30% in 2014.

Table 4 also shows an additional row for each tax, reporting an adjusted value of

total tax revenues. The adjusted revenues measure the aggregate tax collection for a

given year, after taking into account the difference in aggregates reported in SISTN and

FINBRA for each municipality. The main idea of this adjustment is to distribute, for

each municipality, the difference between the annual data from FINBRA, assumed here

as a more precise estimate of revenues, and the 12-month accumulated data from SISTN

according to the average tax collection in each month of the year. The details of this

adjustment are presented in Appendix D.

The final quarterly dataset is compared in figure 2 with the values presented in Orair et

al (2013)[15]. The authors constructed a similar computational system to collect data from

SISTN and computed the tax burden over the Brazilian economy at monthly frequency

for the period 2002-2012. The main difference between Orair et al (2013)[15] and the

procedure described here so far is related to the treatment applied to tax revenues of

24

Figure 2: Tax BurdenAnnual and Quarterly Datasets x Orair et al (2013)

2 0 0 0 2 0 0 2 2 0 0 4 2 0 0 6 2 0 0 8 2 0 1 0 2 0 1 22 7

2 8

2 9

3 0

3 1

3 2

3 3

3 4

3 5

Tax 

Bur

den 

­ % o

f GD

P

Q u a rt e r ly   D a t a A n n u a l  D a t a O ra ir   e t   a l  (2 0 1 3 )

subnational governments. The authors use temporal disaggregation and contemporaneous

forecasts through state-space econometric models to estimate the relevant series. Despite

the lack of advanced econometric techniques, the final time series on aggregate tax burden

computed here is not far from the information published in Orair et al (2013)[15]. On

average, our estimates of the total tax burden (total tax revenues as a proportion of

GDP) is 0.55p.p. below their estimate for the period between 2002 and 201225. The main

differences between the quarterly and annual estimates presented here and the values

presented in Orair et al (2013)[15] is related to the period before 2006, when information

from SISTN is not available to complement missing information on FINBRA. Note that,

for the period between 2002 and 2006, when only the annual dataset is comparable to

Orair et al (2013)[15], the total tax burden is very similar, both in terms of levels and

dynamics. After 2006, with the adjustments on revenues using SISTN and the availability

of information on contributions, the quarterly dataset tracks better the results of Orair

et al (2013)[15].

Besides data for municipal taxes revenues, RREOs collected from SISTN also offer

information on civil servants’ social security contributions in states and municipalities

25In March/2015, the National Accounts went through a major revision. The estimates presented inthis paper use the revised numbers. However, in Figure 2, in order to keep the estimates comparable tothose presented by Orair et al (2013) [15], the unrevised GDP numbers were used to compute the seriesfor the tax burden, both at annual and quarterly frequency.

25

(CPSS/States and CPSS/Municipal). Unfortunately, to the best of our knowledge, there

is not an annual dataset disaggregated by states and municipalities similar to FINBRA

available to check the accuracy of reports. The only source of information on CPSS/States

and CPSS/Municipal are the annual aggregated figures published by the National Trea-

sury Secretariat and the Secretariat of Federal Revenue. Given this limitation, the ad-

justment made on tax revenues using information from FINBRA was not repeated for

contributions of civil servants. Even without the adjustment, however, the comparison

of annual values from the National Treasury with figures from SISTN shows a small gap

between the two time series. Notably, the gap observed for Municipal contributions is

much smaller than the one obtained for States.

Another problem with information from CPSS is the lack of disaggregated data for

CPSS/States and CPSS/Municipal for the period before 2006. The short time span

with information available at monthly frequency after 2006, combined with the lack of

alternative datasets to check the accuracy of the procedure, suggests that it would not

be a good strategy to distribute aggregated annual data over monthly information. The

effects of missing high-frequency information for CPSS/States and CPSS/Municipal are

discussed next.

5.1.2 Tax Revenues Series

Given the procedure described above to collect information from different datasets, we

were able to construct monthly time series on taxes and contributions revenues for each

class of tax (Tc, Ty, Tl and Tk). Figure 3 compares the total tax burden for each class

of taxes as a share of GDP using annual and quarterly data. The annualized, 4-quarter

accumulated tax burden series are in general not too far from the annual series. In fact,

taxes on consumption, individual income and capital income from the quarterly dataset

are consistently above the annual estimates, with a stable gap separating time series at

different frequencies. The gap between annual and annualized time series is a consequence

of two factors: first, as briefly discussed above, the use of net taxes revenues in the annual

reports of the of the Secretariat of the Federal Revenue, instead of gross tax revenues

as published in monthly reports; second, the adjustment of SISTN data to information

from FINBRA, which usually generated higher aggregate estimates of tax revenues of

municipalities, as shown in table 4.

The most important differences between annual and quarterly estimates are related

to the estimates of labor tax revenues for the period between 1999 and 2006. This gap is

a consequence of the lack of data on CPSS/States and CPSS/Municipal at monthly fre-

quency for that period, plus some discrepancies in monthly information for contributions

to the "S" System. The average impact of missing information on these taxes, specially

26

Figure 3: Tax Burden by Tax Class

1999 2003 2007 2011 201412

13

14

15C ON SU MPTION

Tax 

Bur

den 

­ % o

f GD

P

Quarterly  D ata Annual D ata

1999 2003 2007 2011 20140.7

0.8

0.9

1

1.1IN C OME

Tax 

Bur

den 

­ % o

f GD

P

1999 2003 2007 2011 20148

9

10

11

12

13LABOR

Tax 

Bur

den 

­ % o

f GD

P

1999 2003 2007 2011 20144

5

6

7

8C APITAL

Tax 

Bur

den 

­ % o

f GD

P

on CPSS/States and CPSS/Municipal, despite representing a small share of total tax

revenues26, on the total tax burden is estimated at 0.7p.p. of GDP.

Figure 3 shows an increase in the total tax burden over the Brazilian economy observed

in the last 16 years, based on the increase in tax revenues obtained from all sources.

The total tax burden increased around 6p.p. of GDP between 1999 and 2014, mostly

concentrated on labor (3.1p.p. of GDP) and consumption (2.0p.p. of GDP) taxes. After

the 2008 financial crisis, the burden fell for all classes of taxes, as the adoption of an

expansionary fiscal policy, based on selective tax rates cuts, combined with the natural

decrease in tax revenues due to slower economic activity, resulted in a temporary reduction

of tax burden as a proportion of GDP. Consumption taxes observed a significant drop

right after the crisis, but it has already returned to its pre-crisis values. In a smaller scale,

this temporary drop was also observed in individual income and labor tax burdens, with

a quick recovery of their upward trends. The same did not happen to the burden of tax

on capital income. It increased 2.3p.p of GDP until 2007, followed by a significant and

persistent decrease after the crisis. The beginning of the crises, however, coincides with

the extinction of CMPF in 2008. The burden of this tax alone represented on average

1.3p.p. of GDP between 1999 and 2007. An evaluation of the tax burden on capital

income, without including CPMF in the analysis, shows that the tax burden returned to

26CPSS/States and CPSS/Municipal represent 1.4% and 0.4%, respectively, of average total tax rev-enues, according to table 3.

27

its pre-crisis level by 2014.

5.2 Data Sources on the Tax Base

Two main sources were used to compute the tax base at quarterly frequency, given

the definitions presented in equations 4, 9, 11 and 12. First, to compute consumption

taxes, as in the case of effective taxes computed with annual data, the main source is

the National Accounts. Then, to compute factor income, population surveys are used to

make inference on total labor income. Beyond describing details of these two sources,

this section presents, first, the computation of government employee’s compensation at

quarterly frequency. After that, the details on the use of population surveys to estimate

labor and capital income are presented.

From the National Accounts perspective, beyond information on gross domestic out-

put, private consumption and government spending, it is necessary to build an estimate

of the economy’s value added at factor costs. As in the case of labor and capital income,

offi cial estimates available for the value added at factor costs are available only at annual

frequency and without constant updates. By the definition presented in equation 8, value

added at factor costs is computed by the difference between net domestic income and an

estimate of "net taxes on production". While estimates of the gross domestic product are

readily available, an approximation of "net taxes" is constructed, based on the definitions

of Orair et al (2013)[15], as the sum of IPI, ICMS, ISS, CIDE, II, IOF, Cofins, ES and

contributions to the "S" System. Figure 4 compares this approximation with information

on "taxes on production" from the Supply and Use Table, both measured as a proportion

of GDP. Our estimates based on quarterly data are, on average, 0.7p.p. below of the

Supply and Use Table, showing good accuracy, even with the problems reported before

on the database for quarterly data.

After generating an estimate of total factor income, W + RMB + EOB, by using

gross domestic product, Y −Net Taxes, the next two subsections show the procedure toconstruct time series for government employees’compensations, GW, and for labor and

capital income. Table 5 summarizes the data sources used to construct the series on the

tax base.

5.2.1 Constructing a Series for Government Employees’Compensations

In order to construct a quarterly time series on government employees’compensations

(GW in equation 4), information from SISTN was used to estimate figures for subna-

tional entities of the federation. Datasets from the National Treasury Secretariat pro-

vided annual information on payroll and social charges for the three levels of government.

28

Figure 4: Net TaxesAnnual and Quarterly Datasets x Supply and Use Table Data

2000 2002 2004 2006 2008 2010 2012 201412.5

13

13.5

14

14.5

15

15.5

16%

 of G

DP

Quarterly  Data Annual Data Supply  and Use Table Data

Information for the Federal Government is available at monthly frequency on Ipeadata.

However, high-frequency data for States and Municipalities is not readily available —thus,

the need to use SISTN again.

The procedure to collect data from SISTN is the same described in Section 5.1.1,

with one caveat associated with data frequency: each RREO only has the information on

payroll and social charges for the bimester it refers to. RREOs do not provide a monthly

series for the 12 previous months, as it is the case for tax revenues and social security

contributions. For municipalities, annual data from FINBRA was used to adjust the

series as in the case with municipal taxes. The same adjustment was performed with the

time series for States, comparing with the annual data provided by the National Treasury

Secretariat in the Report of Budget Execution of the States27. Details of the adjustment,

also related to the generation of quarterly time series using the bimonthly data, are

provided in Appendix D. Table 6 presents a summary of the information obtained from

SISTN.27Available at https://www.tesouro.fazenda.gov.br/execucao-orcamentaria-dos-estados

29

Table 5: Data on Tax Base Components

Component Frequency Data Source Data IntervalY, C, G Quarterly IBGE 1999.T1 - 2014.T4

Payroll and Social Charges Monthly Ipeadata 1999.01 - 2014.12

Federal Government

Payroll and Social Charges Bimonthly SISTN 2006.B1 - 2014.B6

State Governments Annually National Treasury 1999 - 2013

Payroll and Social Charges Bimonthly SISTN 2006.B1 - 2014.B6

Municipal Governments Annually FINBRA 1999 - 2014

Labor and Capital Income Monthly PME, PNAD and Census (IBGE) 1999.01 - 2014.12

5.2.2 Constructing the Series on Labor and Capital Income

National Accounts in Brazil do not provide quarterly information on labor and capital

income28. As mentioned in subsection 3.5, in order to compute average income taxes rates

at quarterly frequency, information from population surveys in Brazil is used to build an

approximation of total labor income (WI + FC, defined in equation 10). According to

equation 12, capital income is calculated as a residual from value added at factor cost,

Y −Net Taxes, and total labor income.Total labor income is defined as the sum of wages and salaries and the employer’s

contribution to social security system29. The information on employer’s contribution to

social security system, FC, is available at monthly frequency, after a few assumptions

on the contribution of subnational governments. Hence, the major issue is related to

the estimate of wages and salaries, WI, for Brazil at a higher frequency. The procedure

adopted to build this time series is based on two steps: first, estimate the total occupied

population in Brazil, using information from two surveys (PME and PNAD); then, cal-

culate an approximation of average wages for Brazil, after combining information from

three surveys (PME, PNAD and Census of Population).

The combination of three surveys to obtain an estimate of total labor income for

Brazil is necessary because of the sample coverage and the frequency of each survey. At

monthly frequency, PME survey ("Pesquisa Mensal de Emprego", in Portuguese) provides

data on employment and wages for six metropolitan areas of the country30, representing

25% of total Brazilian population. PNAD survey ("Pesquisa Nacional por Amostra de

Domicílios", in Portuguese), provides information on employment and wages sampled for

the whole country, but only at annual frequency. Besides, for censitary years (2000 and

28As of today, the latest information on income distribution between labor and capital from the NationalAccounts is available at annual frequency and updated until 2009.29See IBGE (2008)[9], page 67.30Recife, Salvador, Belo Horizonte, Rio de Janeiro, São Paulo and Porto Alegre.

30

Table6:ComparisonofAnnualDatawithAnnualizedDatafrom

SISTN

2006

2007

2008

2009

2010

2011

2012

2013

2014

Payroll&SocialCharges-States(inR$millions)

Treasury

124,592.1

141,192.0

159,408.4

172,128.8

197,557.0

226,181.8

265,332.7

319,397.9

NA

(1)

SISTN

124,100.1

131,282.9

139,662.7

145,091.8

164,601.4

196,630.3

224,394.7

272,656.4

305,362.0

SISTN/Treasury

99.6%

93.0%

87.6%

84.3%

83.3%

86.9%

84.6%

85.4%

-

Adjusted

124,592.1

141,192.0

159,408.4

172,128.8

197,557.0

226,181.8

265,332.7

319,397.9

305,362.0

Payroll&SocialCharges-Municipalities(inR$millions)

FINBRA

77,882.9

90,488.4

101,323.3

118,104.9

134,819.3

155,809.3

177,005.2

199,409.1

203,419.8

#municipalities

5,422

5,521

5,049

5,426

5,417

5,317

5,150

5,094

4,328

(%oftotal)

97.4%

99.2%

90.7%

97.4%

97.3%

95.5%

92.5%

91.5%

77.7%

SISTN

77,168.9

79,179.2

90,925.3

101,678.5

113,975.4

129,039.4

141,288.5

161,403.7

158,791.4

#municipalities

4,382

4,331

4,254

4,192

4,103

4,030

3,940

3,732

3,247

(%oftotal)

78.7%

77.8%

76.4%

75.3%

73.7%

72.4%

70.8%

67.0%

58.3%

SISTN/FINBRA

99.1%

87.5%

89.7%

86.1%

84.5%

82.8%

79.8%

80.9%

78.1%

Adjusted

78,439.5

90,550.1

104,556.2

120,442.6

136,784.5

157,518.8

179,866.2

204,834.8

220,506.1

(1)Datafrom

theTreasurynotavailablefor2014yet.Informationfrom

SISTNwithoutadjustmentwasused.

31

2010 in our time span), PNAD survey is not available31.

Data from Census of Population also alleviates a problem related to the estimate of

average wages in Brazil. In the literature, Gomes, Bugarin and Ellery (2005)[8] compare

data from PNAD and the annual data on labor income presented in the National Ac-

counts. They estimate total labor income using PNAD data and suggest that, between

1992 and 1998, aggregate labor income was actually 26% higher than the number pre-

sented in the National Accounts. Census data provide greater coverage when compared

to PNAD, allowing for corrections on the measurement of average wages when the income

distribution is very skewed, as discussed later.

Proceeding with the estimation of total employed population in Brazil, assume that

the short run dynamics of employed population in the metropolitan areas covered by

PME is the same as the dynamics for the whole country32. The time series of employed

population is adjusted twice: first, by the gap generated from the difference in the def-

inition of employed people between PNAD and PME; second, by the share of employed

population in the region covered by PME over total employed population in Brazil. For

the first adjustment, the average ratio between 1999 and 2013 of employed population in

PME over employed population in PNAD is estimated at 0.94. This ratio is quite stable

over the sample, especially after 2002. For the second adjustment, the average share be-

tween employed population in metropolitan areas of PME and PNAD survey is estimated

at 0.246. The two ratios are uniformly applied over the PME time series of employed

population described above.

For a quarterly estimate of average wages for Brazil, assume, again, that the short run

dynamics of wages for the whole country is the same as the dynamics described by data

from PME33. Starting from PME dataset, three adjustments are performed: (i) for the

period between 1999 and 2002, adjust old data from PME to the average value of wages

for all occupations, instead of wages from the main occupation; (ii) estimate the average

gap between wages in PME and the values reported in Census for the same geographical

area, in order to correct the level of wages for differences in income distribution; (iii)

estimate wages for Brazil, taking into account the gap between the metropolitan areas

surveyed by PME and the whole country. These three steps are detailed below.

31PME, PNAD and Census microdata are obtained from the IBGE’s website (http://www.ibge.gov.br).32There was a methodological change in the definition of work, among other issues, in PME in 2002.

For the period between 1999 and 2002, the number of employed people is simply a retropolation of thenew definition of employed population over percentual changes of employed population observed in theold survey methodology.33As we are interested in total labor income, wages here are defined as "wages effectivelly accrued

by household" in each month. However, in order to compare the same variable across surveys, ratiospresented next relates to "wages usually accrued by household". This is the measure of income surveyedin PNAD and Census, and it is different from the former measure because it does not include bonusesand other temporary compensations for the household.

32

Table 7: Average Wage —Census and PME

Value (in R$) GapPME —Jul/2000 —Main Occupation 723.91 18.8%

Census 2000 —Main Occupation 860.22

PME —Jul/2010 —Main Occupation 1452.50 11.2%

Census 2010 —Main Occupation 1615.84

PME —Jul/2010 —All Occupations 1484.45 13.0%

Census 2010 —All Occupations 1681.33

Average 14.4%

In terms of the first adjustment, PME data for the period between 1999 and 2002

did not include information on wages for all occupations of the household. Instead, data

available refers only to wages for the main occupation. Using data from PNAD between

1999 and 2013, restricted to cover only PME survey’s metropolitan areas, the average

gap between the income of all occupations and the income of the main occupation is

estimated at 3.1%. This factor multiplies wages for the period between 1999 and 2002, as

an estimate of average wage for all occupations of the household.

For the second adjustment, table 7 compares average earnings from PME and from the

2000 and 2010 Census, computed at the same metropolitan areas of PME, at the reference

month of each Census34. There is a significant discrepancy in average wages, probably

related to the large wage income inequality in Brazil and the diffi culty of small surveys

to capture accurate information at the highest income levels35. Evaluation of survey’s

microdata shows that the gap between PME and Census income estimates, at the same

percentile, are generally increasing, as the top of the distribution is reached. Thus, at

the median, the gap between income reported at the Census versus the income reported

at PME reaches 6%; at the 90th percentile, the same gap is estimated at 17%; at the

99th percentile, the gap reaches 30%; and so on. Given this fact, the first transformation

applied to average wages data in PME is to adjust by the average gap between wages

reported at Census and PME survey.

For the third adjustment, one important feature of labor income distribution in Brazil

is related to wage growth in the metropolitan regions versus wage growth in other regions.

There is a decreasing gap between wages outside the metropolitan areas surveyed by PME

34Note, again, that PME only started presenting data on average wages from all occupations of thehousehold in 2002.35Unfortunately, research on income distribution using information from tax reports is still very pre-

liminary in Brazil. Those results show that even data from Census might significantly underestimatetotal labor income: Medeiros, Souza and Castro (2014)[11] estimate that the top 1% of population interms of income accrues a share of 25% of total income in the economy; in the 2010 Census, this numberis estimated at 20%.

33

Table 8: Average Wage —All Occupations of HouseholdPNAD Survey

PME Areas (in R$) Brazil (in R$) Gap1999 691.60 449.83 53.7%

2001 779.43 525.07 48.4%

2002 820.26 560.54 46.3%

2003 875.03 610.54 43.3%

2004 902.96 644.72 40.1%

2005 1013.17 704.50 43.8%

2006 1095.32 782.09 40.1%

2007 1171.95 850.73 37.8%

2008 1251.00 936.37 33.6%

2009 1350.28 1005.96 34.2%

2011 1672.71 1239.50 35.0%

2012 1844.53 1389.40 32.8%

2013 2069.42 1526.70 35.5%

Average 40.4%

and wages in the rest of the country, according to data from PNAD survey. Table 8 shows

the ratio of the average wages in metropolitan areas of PME over wages in Brazil from

1999 to 2014. The gap between wages in metropolitan areas surveyed by PME and for

the whole country decreases from 53.7% in 1999 to 35.5% in 201336. In order to adjust for

this trend, the estimated gap presented in table 8 is linearly interpolated over the years

and applied over the estimated wages after the two procedures described before.

The set of adjustments incorporated above to estimate wages for Brazil shows that

using only PNAD data to correct estimates of average wages for the effects of the tails of

the wage distribution might not be suffi cient, as the estimated time series is systematically

above the average values reported in PNAD survey. Our results, in fact, suggest that the

underestimation of aggregate labor income found in Gomes, Bugarin and Ellery (2005)[8]

might be even more significant than what they report.

The final step to compute total labor income consist of adding estimates of total

employer’s contribution over wages and salaries estimated above, as described in the

methodology of IBGE[9] for the labor income in the National Accounts. The employer’s

share of contributions inputted over wage income is based on information for FGTS,

PIS/PASEP, ES, "S" System, RGPS and CPSS. While the first four contributions are

entirely paid by employers, it was necessary to collect information on the employer’s share

of total RGPS and CPSS tax collection. Using reports from the offi cial Social Security

36This trend is also significant if data is restricted to average wage only in the main occupation of thehousehold or comparing data from the 2000 and 2010 Census.

34

Figure 5: Labor Income EstimateNational Accounts and High-Frequency Values

Cur

rent

 Mon

etar

y U

nit ­

 R$ 

billio

ns

Jul/9

9Ap

r/00

Feb/

01

Dec

/01

Oct

/02

Aug/

03

May

/04

Mar

/05

Jan/

06

Nov

/06

Aug/

07Ju

n/08

Apr/0

9

Feb/

10

Dec

/10

Sep/

11

Jul/1

2

May

/13

Mar

/14

Dec

/14

0

500

1000

1500

2000

2500

W + RMB W Estimated Labor Income

System in Brazil, we were able to identify the employer’s contribution to the system. In

terms of CPSS, we were able to collect information at the Federal level of government for

the share of employer’s contribution. For the sake of simplicity, we assume that, at the

subnational government level, the share of employer’s contribution to CPSS is the same

as in the Federal level.

Figure 5 shows the estimated path for the 12-months cumulative labor income, com-

paring results with the usual metric adopted to estimate total labor income: using only

employees compensation (W ) and the sum of employees compensation and the income

of autonomous workers (W + RMB, from the Supply and Use Table). While the first

measure is adopted in Mendoza et al (1994)[12], the second measure is proposed in Con-

sidera and Pessoa (2011)[6]. Our methodology focused only on the definitions of labor

income from the National Accounts and information available from microdata of popula-

tion surveys. Our estimates of labor income stays really close to the measure proposed in

Considera and Pessoa (2011)[6].

5.2.3 Summary of Tax Base Data

In order to compute the tax base for quarterly estimates of effective taxes, it was

necessary to collect information matching variables described in equations from sections

3.2 and 3.4. As a summary, the procedure to compute the tax base was the following:

35

• For the tax base of consumption, data from the National Accounts and quarterly

estimates of tax revenues on consumption and government employees’ compen-

sations, presented in sections 5.1 and 5.2.1, respectively, were used to compute

C +G−GW − Tc.

• The tax base on income tax is given by the pre-tax value of total income, Y −NetTaxes, computed at quarterly frequency.

• For taxes on labor, we estimated the wage received by households using populationsurveys, WI, and, following the procedure in the National Accounts, included the

revenues on contributions charged on employers, FC. Both series were calculated

using monthly data and converted to quarterly frequency.

• Finally, for taxes on capital, the tax based is expressed as the difference between thepre-tax total value added at cost factor and the estimate of labor income, computed

at quarterly frequency: KI = Y −Net Taxes −WI − FC.

5.3 Effective Tax Rates - Quarterly Data

Effective tax rates are, finally, computed after obtaining information on tax revenues

and the tax base. The only additional procedure adopted to smooth the dynamics of tax

rates is the removal of seasonal components from tax revenues and the tax base. From

the perspective of the tax revenues, removing the seasonal component smooth spikes

associated with regular annual dates for the collection of certain taxes. Also, from the

perspective of the tax base, removing the seasonal component avoids distortions generated

from regular components of income. For instance, labor income is severely distorted when

households receive annual bonuses, like the "13th wage", usually at the end of calendar

year.

Figure 6 shows quarterly time series for each effective tax rate (τ c, τ y, τ l, and τ k) along

with those computed at annual frequency37. In general, quarterly series are not too far

from the annual rates, even with discrepancies with respect to the tax base and some tax

revenues in the two frequencies. As expected, most of the differences are observed in labor

and capital income taxes, where the problems related with the collection of information

on revenues and the tax base are more evident.

In terms of results, the time series confirm the general idea of an increase in effective

tax rates for the Brazilian economy over the last 16 years. This trend was partially

37Appendices A and B show the time series for each average effective tax rate discussed, respectivelyat annual and quarterly frequencies. Additionally, there is also a time series of average effective tax ratefor general income taxes, assuming that it is not possible to discriminate the source of income. Using thenotation of section 3.1, the time series assumes a model where τy = τk = τ l in every period.

36

Figure 6: Effective Tax Rates by ClassAnnualized Data x Annual Data

C ON SU MPTION

(%)

99Q

1

01Q

4

04Q

2

07Q

1

09Q

3

12Q

2

14Q

4

182022242628

Annual D ata Quarterly  D ata

IN C OME

(%)

99Q

1

01Q

4

04Q

2

07Q

1

09Q

3

12Q

2

14Q

4

0.9

1

1.1

1.2

LABOR

(%)

99Q

1

01Q

4

04Q

2

07Q

1

09Q

3

12Q

2

14Q

4

20

22

24

C APITAL

(%)

99Q

1

01Q

4

04Q

2

07Q

1

09Q

3

12Q

2

14Q

4

1214161820

interrupted after the 2008 international crisis. However, at the end of the sample, the

trend seems to have recovered its path, especially for tax rates on capital and individual

incomes. It is also interesting that the crisis period is also characterized by a break of the

trend for labor income taxes, but not a downward movement in tax rates, as observed on

individual income, consumption and capital income taxes.

6 Empirical Analysis

The objective of this section is to provide preliminary results on the relation between

effective taxes computed in the previous section and some regularities of the business

cycle. It also explores how changes in fiscal policy affect directly (through changes in

specific tax rates) and indirectly (through yearly updates in income tax brackets, as an

example) the estimated path of aggregate tax rates.

6.1 Effective Tax Rates and the Business Cycle

Table 9 summarizes a few basic correlations between average effective tax rates and the

business cycle. Most of the significant contemporaneous correlations has the expected sign,

especially relating consumption and investment with taxes. In particular, the negative

correlation between taxes on consumption, labor income and capital income with the

37

Table 9: Correlations with Business Cycle

τ c τ y τ l τ kCorrelation - Detrended Data

Output 0.033 0.146 0.035 -0.291*

Consumption -0.430* 0.215 -0.136 -0.597*

Investment -0.239 0.195 -0.103 -0.557*

Government Spending -0.195 0.083 0.062 -0.307*

Correlation - Shares over OutputConsumption -0.692* -0.186 -0.586* -0.334*

Investment -0.087 0.127 0.069 -0.030

Government Spending 0.330* 0.478* 0.490* -0.263*

Trade Balance 0.321* -0.398* -0.031 0.560*

(*) Significant at 5%.

share of consumption suggest a strong substitution between consumption and leisure in

the short run, as described in simple RBC models. The correlations of the share of

government spending with all tax rates are significant, although it seems counterintuitive

that the correlation with the tax on capital income is negative. In terms of robustness,

the sign of correlations, if not the significance as well, presented with data filtered by a

linear trend are mostly the same if data was HP-filtered.

Figure 7 explores the correlations of effective tax rates in a dynamic framework, as-

sociating output detrended by three methods with lagged and future values of effective

taxes. First of all, it is worth noting that alternative detrending processes do not alter the

general pattern of correlations with output over time, providing, thus, some robustness to

results. Second, negative correlations of output with past values of tax rates on consump-

tion and capital income seems to be significant, despite changes in lags conditional on

filtering procedure. Third, the recent path of labor income taxes seems to be independent

of the business cycle, as most of the correlations with output, both in terms of leads and

lags are not significant.

Finally, in order to provide a more formal test on the influence of taxes on the busi-

ness cycle, table 10 summarizes the results of a set of four VAR models estimated to

test Granger-causality between effective tax rates and the business cycles. Each VAR

included one of the taxes, plus detrended output, consumption, government spending and

investment as endogenous variables, and a dummy that equals one after the first quarter

of 2009, in order to control for tax policy changes after the crisis. Due to the large number

of variables included, the Schwartz information criteria always selected the inclusion of

only one lag in the VAR. Results show the outcome, in terms of p-values, of the causality

from taxes to the business cycle (columns 3 and 4) and from the business cycle to taxes

38

Figure 7: Correlation of Effective Tax Rates and Output

­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6­0.4

­0.2

0

0.2

0.4

i

Corr(τct+i

,Y )

­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6

­0.4

­0.2

0

0.2

0.4

i

Corr(τyt+i

,Y )

­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6

­0.2

­0.1

0

0.1

0.2

0.3

i

Corr(τlt+i

,Y )

­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6

­0.3

­0.2

­0.1

0

0.1

0.2

0.3

i

Corr(τkt+i

,Y )

Linear T rend HP Fil ter Growth Rate

(columns 5 and 6). Columns labeled "sign" show the direction of the causality, simulated

from impulse response functions of each VAR.

Results in table 10 show that the impact of taxes on the business cycle points to

the expected direction, with an increase in taxes reducing economic activity. Taxes on

consumption and individual income were the most related to the business cycles, while

labor income taxes didn’t show any significant direct impact. On labor taxes, specifically,

it is worth noting that its dynamic might be influenced by other factors, not exactly

related to economic activity, as described in subsection 6.3. Also, while it would be

tempting to discuss fiscal multipliers from the impulse response functions from taxes to

the business cycle, it must be recognized that a VAR designed for such task requires a lot

more structure than the one adopted here. From a reverse causality perspective, there are

very small signs of a relation where the business cycle affects taxes. Only consumption

and individual income taxes seems to be affected by output, while the statistical test

captures a relationship between government spending and taxes on labor. The sign of

causality, derived from impulse response functions, show that an increase in economic

activity tends to result in an increase in taxes in the future.

39

Table 10: Granger-Causality: Taxes and Business Cycle

Granger-Causality: Sign Granger-Causality: SignFrom Taxes (p-value) To Taxes (p-value)

τ c Output 0.1123 - 0.0184* positive

Consumption 0.0422* negative 0.2728 -

Investment 0.2172 - 0.2477 -

Government 0.0022* negative 0.8757 -

τ y Output 0.0326* negative 0.0283* positive

Consumption 0.2383 - 0.8614 -

Investment 0.0477* negative 0.2807 -

Government 0.0635 - 0.6651 -

τ l Output 0.4896 - 0.1078 -

Consumption 0.5129 - 0.3048 -

Investment 0.4524 - 0.4418 -

Government 0.8316 - 0.0164* positive

τ k Output 0.2420 - 0.2463 -

Consumption 0.1935 - 0.9047 -

Investment 0.3106 - 0.1451 -

Government 0.0037* negative 0.7542 -

6.2 Direct Effects of Tax Policy on Effective Tax Rates

This section relates some important changes in Brazilian tax rates in recent periods

with the measurement of effective tax rates proposed here. Table 11 lists thirteen episodes

of changes in tax rates, including the creation and the end of taxes and contributions to

the tax system. From a chronological perspective, most of the changes in tax rates were

done in 2008. That year, in particular, includes changes in policy rates as a response to

the financial crisis, but also a significant change in the tax system, early in the year, as a

consequence of the end of CPMF. The loss in revenues was partially compensated by the

rate increase in other taxes. The thirteen listed episodes also focus on changes in capital

income and consumption taxes. It does not include policy changes in labor income or

general income taxes because most of the time they did not include movements in tax

rates, focusing, instead, on broader issues related to the tax base, like the update of tax

brackets.

While the first three columns of table 11 describe the policy change, the fourth column

highlights the first period after the change in policy where tax revenues were mostly

affected. The fifth and sixth columns provide a measure of impact of the policy change

on the economy, showing the change in tax revenues at the first period after the policy

change, as a proportion of GDP and the respective tax base. The final two columns

compare the change in average tax rate of the specific episode with the change in the

40

aggregate measure of tax rate. As an example, in the first episode presented, setting a

tax rate of 0.38% for CPMF represented, in 1999Q3, an increase of revenues of 1.11p.p.

of GDP, or almost 3p.p. as a proportion of the tax base of capital rates. Setting a new

tax rate for CPMF represented approximately 83% of total variation in capital income

tax rates in 1999Q3 (2.96/3.56 ≈ 0.83).

The first result taken from a general overview of table 11 is that changes in policy

tax rates have a good matching to changes in the average effective tax rates, at least on

impact. There are only two cases where the change in a specific tax had an opposite

sign compared to the change in the aggregate tax rate: the increase in CSLL to financial

companies in 2008, when total tax on capital income reduced 0.42% due to the end of

CPMF and a reduction in tax rates charged in IRPJ; and the reduction in tax rates of

IOF for a few financial operations, when total taxes in consumption increased 0.10%.

Excluding those two episodes, changes in policy tax rates were responsible for 79.6% of

the change in the effective tax rate for the category. It is also worth noting that the

matching seems to be equally good for both large tax changes (in the sense of generating

large revenues as a proportion of GDP) and small movements in policy rates.

6.3 Indirect Changes on Effective Tax Rates

This section describes two indirect sources of changes in the measurement of average

effective tax rates that are not related to observed variation in tax rate policy: first,

this section explores the effects of annual revisions of tax brackets when labor income

distribution is changing over time; then, an evaluation of the cyclical behavior of tax

revenues provides an idea on the distortions to the measurement of effective tax rates

generated by the status of the business cycle. The two exercises, in a sense, complement

each other, as they evaluate indirect changes in average effective tax rates from both a

cross-sectional —i.e., when the heterogeneity of agents in the economy is one of the main

sources of fluctuations —and a time series perspective —especially in the last case, when

the state of the economy is the main source of changes in effective tax rates.

In order to analyze the effects of income heterogeneity on the measurement of effective

tax rates, consider the case of the update of tax brackets for the annual reports of income

taxes. This exercise is particularly important, as Brazil has recently experienced signifi-

cant real wages increases over time, combined with reduction of labor income inequality.

As an example on how updating tax brackets might affect average effective tax rates on

labor, consider the case of a household whose income is on the verge of reaching the lower

limit of the lowest tax bracket. Assume that the government decides not to update the

tax bracket from the previous year. If the household had any extra income gain in the

previous fiscal year, she must declare and pay taxes on her total income. That means

41

Table 11: Impact on Effective Tax Rates of Changes in Policy Rates

YearTaxRate

Policy Change Period ∆T iGDP

∆T iTax Base

∆(

TiTax Base

)∆τ

1999 τ k CPMF: tax rate = 0.38% 1999Q3 1.11% 2.96% 2.96% 3.56%

(06/1999)

2000 τ k CPMF: tax rate = 0.30% 2000Q3 -0.22% -0.63% -0.85% -1.10%

(06/2000)

2001 τ k CPMF: tax rate = 0.38% 2001Q2 0.34% 0.94% 0.97% 2.40%

(03/1999)

2002 τ k IRPJ: taxes on social security 2002Q1 1.03% 2.67% 2.55% 2.74%

(Provisional M easure 2222, 04/2001)

2002 τ c Begin CIDE 2002Q1 0.46% 0.84% 0.84% 0.53%

2003 τ k CSLL: tax rates = 32% 2003Q2 0.27% 0.68% 0.54% 0.89%

(Law 10.684, 05/2003)

2004 τ c Cofins: charged over import 2004Q2 0.76% 1.49% 1.29% 1.53%

goods and services

(05/2004)

2008 τ k End CPMF 2008Q1 -0.98% -2.58% -2.81% -4.13%

2008 τ c IOF: increase taxes on credit 2008Q1 0.34% 0.67% 0.65% 1.54%

and exchange operations

(Decree 6339, 01/2008)

2008 τ k CSLL: tax rates financial 2008Q2 0.36% 0.95% 0.83% -0.42%

companies = 15%

(Provisional M easure 413, 01/2008)

2008 τ c CIDE: reduce tax rates on 2008Q2 -0.07% -0.13% -0.15% -0.11%

gas prices

2008 τ c IOF: reduce taxes on credit 2008Q4 -0.05% -0.09% -0.06% 0.10%

and exchange operations

(Decrees 6566, 6613, 6655, 6691)

2008 τ c IPI: reduce tax rates on 2009Q1 -0.29% -0.52% -0.70% -4.86%

transport vehicles

(Decree 6687, 12/2008)

42

a larger increase on total tax revenues compared to the change in the tax base, as the

household was not paying taxes in the previous year. For the sake of computing average

effective tax rates, thus, an update of tax brackets that does not follow changes in real

income might generate a procyclical component on the time series.

The overall increase in the number of people paying labor income taxes might justify

the upward trend in labor income taxes shown in figure 6. In fact, Orair (2014)[14] re-

lates the increase in tax revenues from IRRF/Labor between 2004 and 2009 in different

economic sectors with the increase in formal labor participation in those sectors. From an

aggregate perspective, figure 8 shows the share of employed population with labor income

at least equal to the lower limit of the lowest tax bracket and the share of employed pop-

ulation earning at least the income defining the highest tax bracket, both as a proportion

of total population at least 10 years-old38. The figure shows a clear upward trend in the

share of employed population earning at least the minimum to pay labor income taxes,

from 7% in 2002Q1 to 17.25% in 2014Q4. On the other hand, there is a clear break in 2009

for the number of people paying the highest income tax rate: in that year, the Secretariat

of the Federal Revenue created two additional tax brackets, changing the income limit for

the highest bracket. The share of employed population charged with income taxes at the

highest bracket fluctuated between 2.7 to 4.4% of total population in the sample.

To evaluate the effects of changes in the share of employed population paying labor

income taxes, a VAR model is estimated, relating the labor income tax, the two shares

described above and the share of population working in the formal sector with respect

to total employed population. The numerator is defined as total employed population

in the formal, private sector. The 4-variable VAR, estimated with only one lag based

on information criteria, also includes as exogenous variable two lags of HP-Filter based

output gap and two dummy variables: the first dummy variable equals one after 2006,

adjusting for the break in the information set observed after that year; the second dummy

variable equals one after 2009, controlling for the change in the number of tax brackets.

Assuming an ordering where the share of employed population in the formal sector is

not contemporaneously affected by the other three variables in the system —the "most

exogenous variable" in the system — and the labor income tax is contemporaneously

affected by all other variables —the "most endogenous variable" —in the Choleski matrix

decomposition, figure 9 shows the impulse response functions of the labor income tax after

an exogenous shock in the shares of population39. Dotted lines show the 95% confidence

38The time series show the seasonally adjusted values at the end of each quarter. The time seriesshow only values of PME survey from the new methodology, since the gap between figures on employedpopulation between the old and the new methodology could be a problem in the time series analysisproposed below.39Results are not affected by the Choleski decomposition, as Generalized IRFs generates approximately

the same outcome.

43

Figure 8: Share of Population and Tax Brackets

Pop

.: w

age 

> m

in(in

com

e ta

x)

2002

Q4

2003

Q4

2004

Q4

2005

Q4

2006

Q4

2007

Q4

2008

Q4

2009

Q4

2010

Q4

2011

Q4

2012

Q4

2013

Q4

2014

Q4

0.05

0.075

0.1

0.125

0.15

0.175

0.2

0.02

0.025

0.03

0.035

0.04

0.045

0.05P

op.: wage > m

ax(income tax)

Share employ ed population: wage > min(income tax)Share employ ed population: wage > max(income tax)

interval for each impulse response function. Surprisingly, the first graph shows that the

increase in population working in the formal sector of the economy is not significant

to explain changes in the tax rate. One possible interpretation of this result is that the

increase of labor participation in the formal sector was mostly based on low income workers

—i.e. those with earnings below the lower limit of the lowest tax bracket. This result is

robust to alternative measures of formal labor sector, like the share of employed population

with valid work documentation, or the share of employed population in the private formal

sector as a proportion of total workers in the private sector. The measurement of labor

income taxes also does not significantly changes with an increase in the share of population

with income at least equal to the highest bracket. On the other hand, labor income taxes

show significant increase with changes in the share of population with income above the

minimum established in the lowest bracket. In this case, reported in the third graphic of

the figure, an increase of 1p.p. in the share of population declaring income at least equal

to the minimum established in the lowest bracket results in larger and persistent impact

in the measurement of labor taxes, with an increase of 0.4p.p. after 6 to 8 quarters.

Another way to evaluate indirect sources of fluctuations in tax rates is to relate tax

revenues with economic activity at the business cycle frequency. If the tax base and tax

revenues are perfectly correlated, any observed cyclical behavior of average effective tax

rates must be a consequence of tax policy and not a by-product of economic fluctuations.

44

Figure 9: Impulse Response Functions of Labor Income Taxes —VAR(1) Model

5 10 15 20 25 30­0.4

­0.3

­0.2

­0.1

0

0.1

0.2

0.3

0.4

0.5

Inco

me 

tax 

­ p.

p.

Shock:share of formal labor

1 p.p.

5 10 15 20 25 30­1.5

­1

­0.5

0

0.5

1

Inco

me 

tax 

­ p.

p.

Shock:pop. wag e >  max( income tax)

1 p.p.

5 10 15 20 25 30­0.4

­0.2

0

0.2

0.4

0.6

0.8

1

Inco

me 

tax 

­ p.

p.

Shock:pop. wag e >  min( income tax)

1 p.p.

Table 12 shows the sample correlation of tax revenues with fluctuations of tax base, output

and consumption. All variables are measured in real terms, using the Extended National

Consumer Price Index (IPCA) as a deflator, seasonally adjusted and the log is filtered

by a linear trend. In the sample, revenues of income and labor taxes move together

with fluctuations of their own tax base, as shown in the first line of results of table 12.

Labor income and individual income tax revenues show significant positive correlation

with output and consumption fluctuations, while the revenues of capital income taxes

are markedly countercyclical. Consumption tax revenues do not present a significant

correlation with their own tax base at the business cycle frequency. However, the strong

correlation with output and consumption suggests that the lack of significant correlation

between revenues and the tax base is a consequence of adding other components of the tax

base. More specifically, the correlation between revenues from consumption taxes and the

sum of household and government consumption (0.35) is still positive and significant in

the sample, suggesting that the spending in government employee’s wages is responsible

for breaking the significance of correlation.

45

Table 12: Correlation - Tax Revenues with Tax Base and Business Cycle

Tax RevenuesConsumption Labor Income Capital Income Individual Income

Tax Base 0.11 0.76* 0.20 0.61*

Consumption 0.39* 0.74* -0.60* 0.63*

Output 0.60* 0.85* -0.30* 0.62*

(*) Significant at 5%.

7 Conclusions

This paper estimated time series of effective tax rates for consumption and factor

incomes for Brazil, following the methodology of Mendoza et al (1994)[12] and Lledó

(2005)[10], using a large number of databases in order to acquire information on tax

revenues and tax base at quarterly frequency. The procedure to generate quarterly ap-

proximations seems to be effective, despite its simplicity, as the yearly approximations of

the quarterly estimates remained very close to the actual annual datasets usually used to

perform such estimates. The time series of the tax burden and the effective tax rates also

seem to be in line with the historical Brazilian experience on fiscal policy. The estimated

tax burden correctly identifies a positive trend over time, despite the partial interruption

after the international crisis in 2008.

A good question after the exercise of computing such effective tax rates is the capacity

of the dataset presented here to be regularly updated, in order to provide timely analysis

for policy actions. One natural problem of working with data from SISTN and FINBRA

is the long time it takes the municipalities to send reports and the system administrator

to make them available. The National Treasury usually makes the files available in the

last quarter of the following year. For a real time application of this dataset, it would be

necessary to use alternative sources to collect data at the subnational government’s level,

or use auxiliary models estimated to provide short run forecasts of tax revenues.

Even with these diffi culties, this dataset can be useful for various fiscal policy analysis

exercises. For example, one can use the tax rates series for the estimation of fiscal rules

or, for a more accurate calibration or estimation of general equilibrium models aimed at

studing the effects of fiscal measures. These remain as suggestions for future research.

46

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48

A Annual time series of distortionary taxes: 1999-

2009

Consumption Income Labor Capital General Income1999 21.06 0.94 18.41 14.33 17.762000 23.58 0.94 19.11 15.42 18.592001 24.65 0.98 19.59 16.19 19.232002 25.37 1.02 20.02 19.14 20.682003 24.30 0.92 20.48 17.90 20.342004 26.84 0.91 21.64 17.24 20.692005 26.15 0.95 22.20 18.98 21.812006 25.40 1.00 22.49 19.07 22.092007 25.99 1.13 22.18 20.67 22.702008 28.00 1.16 22.51 18.15 21.942009 24.25 1.12 22.40 17.26 21.51

49

B Quarterly time series of distortionary taxes: 1999Q1-

2014Q4

Consumption Income Labor Capital General Income

1999Q1 17.54 0.98 18.90 13.30 17.30

1999Q2 19.36 0.88 18.45 10.06 15.48

1999Q3 20.25 0.95 18.57 13.55 17.39

1999Q4 20.12 0.92 18.43 13.43 17.07

2000Q1 23.71 0.92 18.51 15.54 18.20

2000Q2 22.27 0.97 18.35 14.79 17.70

2000Q3 23.07 0.92 18.07 13.99 17.43

2000Q4 23.96 0.92 18.53 15.04 17.98

2001Q1 24.33 0.93 18.96 13.62 17.43

2001Q2 25.30 1.01 19.52 15.90 18.85

2001Q3 24.83 1.02 19.28 15.60 18.85

2001Q4 23.35 0.95 20.43 14.86 18.86

2002Q1 24.27 1.10 19.38 17.42 19.75

2002Q2 24.46 0.89 18.98 16.48 18.56

2002Q3 26.37 1.07 19.35 19.30 20.47

2002Q4 26.92 1.07 19.28 18.54 19.91

2003Q1 25.04 1.06 19.57 16.06 19.06

2003Q2 23.88 0.88 20.05 16.97 19.28

2003Q3 23.47 0.84 20.67 14.74 18.64

2003Q4 25.74 0.94 21.54 16.10 19.82

2004Q1 26.52 0.93 21.43 16.14 19.87

2004Q2 28.13 0.91 21.62 14.78 19.14

2004Q3 27.53 0.86 21.28 15.93 19.60

2004Q4 26.70 0.91 21.65 15.42 19.57

2005Q1 27.60 0.90 22.02 16.55 20.37

2005Q2 27.40 0.99 22.36 17.29 20.85

2005Q3 26.93 1.02 22.43 16.75 20.71

2005Q4 26.36 0.86 22.57 17.78 20.99

50

Consumption Income Labor Capital General Income

2006Q1 26.50 0.90 23.49 16.40 21.02

2006Q2 26.22 1.04 23.71 18.29 22.22

2006Q3 26.20 1.02 24.03 17.07 21.72

2006Q4 26.34 0.98 23.96 16.05 21.14

2007Q1 25.85 1.06 23.45 16.57 21.27

2007Q2 25.92 1.09 24.07 17.44 21.98

2007Q3 26.89 1.14 24.53 17.79 22.41

2007Q4 26.87 1.26 23.79 19.86 22.96

2008Q1 28.55 1.20 24.41 16.33 21.83

2008Q2 28.33 1.10 23.87 15.79 21.25

2008Q3 28.62 1.16 23.80 16.41 21.57

2008Q4 28.41 1.17 23.44 15.99 21.29

2009Q1 24.11 1.23 23.72 16.43 21.68

2009Q2 23.79 1.02 23.87 15.07 20.96

2009Q3 23.94 1.12 23.46 14.01 20.32

2009Q4 26.24 1.14 24.27 14.67 20.85

2010Q1 26.21 0.98 24.05 13.32 19.97

2010Q2 26.79 1.09 24.11 13.69 20.40

2010Q3 26.58 1.02 23.97 13.91 20.37

2010Q4 26.44 1.08 24.82 13.53 20.67

2011Q1 28.55 1.16 24.99 14.05 20.97

2011Q2 26.42 1.15 24.70 14.14 20.82

2011Q3 27.49 1.15 25.10 16.16 22.02

2011Q4 26.89 1.11 24.80 14.44 21.17

2012Q1 26.69 1.12 24.94 15.31 21.75

2012Q2 26.50 1.19 24.67 14.66 21.42

2012Q3 25.65 1.17 24.38 14.31 21.17

2012Q4 25.60 1.19 24.03 14.82 21.32

2013Q1 26.14 1.17 24.48 15.31 21.62

2013Q2 26.36 1.20 25.49 14.38 21.63

2013Q3 26.42 1.20 25.24 14.33 21.62

2013Q4 26.09 1.25 25.35 14.73 21.84

2014Q1 25.77 1.25 25.23 14.33 21.54

2014Q2 27.53 1.21 25.33 15.90 22.44

2014Q3 24.16 1.24 25.23 15.23 22.12

2014Q4 27.79 1.13 25.09 15.13 22.03

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C Description of Taxes and Contributions

Here we give a short description of the taxes and contributions used in this study,

including their names in Portuguese40. They are broken down by jurisdiction (Federal,

State or Municipal). Although long, this list does not include all the taxes and contribu-

tions levied in Brazil, but the ones there were classified in one of the categories used in

this study.

C.1 Federal Government Taxes

Cide - Contribuição sobre Intervenção no Domínio Econômico (Contribution of Inter-

vention in the Economic Domain) - Tax levied on some specific products, the main one

being fuel.

CSLL - Contribuição Social sobre o Lucro Líquido (Social Contribution on Net Profit)

- Contribution levied on profit before income tax destined to finance the social security

system.

Cofins - Contribuição para o Financiamento da Seguridade Social (Contribution for

the Financing of the Social Security) - Contribution charged monthly on the gross revenue

from the sale of goods and services destined to finance the social security system.

CPMF - Contribuição Provisória sobre Movimentação ou Transmissão de Valores e

de Créditos e Direitos de Natureza Financeira (Provisional Contribution on Financial

Movement) - Contribution levied on bank debits of individuals or corporations.

CPSS/Federal - Contribuição para o Plano de Seguridade Social do Servidor - Fed-

eral (Civil Servants’Social Security Contribution - Union) - Contribution on the earnings

of federal civil servants to finance their social security system.

FGTS - Fundo de Garantia por Tempo de Serviço (Employee Indemnity Guaran-

tee Fund) - Contribution levied on the payroll of corporations or individuals (household

employers).

II - Imposto sobre Importação (Import Tax) - Import duty applied to the entrance of

foreign products.

IOF - Imposto sobre Operações Financeiras (Tax on Financial Operations) - Tax

levied on financial operations and assessed on different types of events, such as credit,

foreign exchange, securities and insurance.

IPI - Imposto sobre Produtos Industrializados (Tax on Industrialized Products) -

40Sources:http://www2.apexbrasil.com.br/en/invest-in-brazil/how-to-invest-in-brazil/tax-systemhttp://thebrazilbusiness.com/taxhttp://www.receita.fazenda.gov.br/principal/Ingles/SistemaTributarioBR/Taxes.htm

52

Value Added Tax paid by manufactures on behalf of their customers at the time of sale.

It is considered on the sale cost and transferred to the buyer.

IRPF - Imposto sobre a Renda da Pessoa Física (Individual Income Tax) - Tax levied

on individuals´ salaries and earnings.

IRPJ - Imposto de Renda de Pessoas Jurídicas (Corporate Income Tax) - Corporate

revenue tax applied to the net profits of any legal entity.

IRRF/Capital - Imposto de Renda Retido na Fonte - rendimento do capital (With-

holding Income Tax - Capital Income) - Tax levied on gross income on capital such as

equity, investments, stocks for individuals and corporations.

IRRF/Trabalho - Imposto de Renda Retido na Fonte - rendimento do trabalho

(Withholding Income Tax - Labor Income) - Tax levied on salaries and earnings withheld

by the payer.

IRRF/Remessas - Imposto de Renda Retido na Fonte - rendimento de remessa

p/ ext. (Withholding Income Tax - Income from remittances abroad) - Tax levied on

profits, dividends, interest and amortization, royalties, technical, scientific, administrative

or similar assistance, remitted abroad by individuals and corporations.

IRRF/Outros - Imposto de Renda Retido na Fonte - outros rendimentos (Withhold-

ing Income Tax - Others) - Tax on prizes and drawings, advertisement services, payment

of professional services, among others.

ITR - Imposto Territorial Rural (Tax on Rural Land Property) - Tax on the value of

rural property owned by individuals or corporations.

PASEP - Programa de Formação do Patrimônio do Servidor Público (Civil Servants’

Savings Program Contribution) - Contribution analogous to PIS, but applied to civil

servants.

PIS - Programa de Integração Social (Contribution to the Social Integration Program)

- Contribution destined to finance the payment of insurance, unemployment allowance and

participation in revenues from agencies and entities for public and private workers.

RGPS - Contribuição para o Regime Geral de Previdência Social (Contribution to the

General Social Security System) - Contribution on payroll and self-employment earnings.

SE - Salário Educação (Education Wage) - Social contribution intended to finance

projects, programs and actions oriented to public basic education.

Sistema "S" - Contribuições para o Sistema S (Contributions to the "S" System)

- Joint system of social contributions paid by companies in order to finance the Au-

tonomous Social Services (The so called "S" system is composed by the following bodies:

SENAR (National Rural Training Service), SENAI (National Industrial Training Service),

SESI (Social Service of Industry), SENAC (National Commercial Training Service), SESC

(Social Service of Commerce), SESCOOP (National Service of Cooperativism Apprentice-

53

ship), SEST (Social Service of the Transport Sector), SENAT (National Transportation

Training Service), SEBRAE (Brazilian Service of Micro and Small Size Companies Sup-

port), IEL (Euvaldo Lodi Institute), Aviation Fund and maritime Professional Education).

C.2 State Government Taxes

CPSS/States - Contribuição para o Plano de Seguridade Social do Servidor - Estados

(Civil Servants’Social Security Contribution - States) - Contribution on the earnings of

state civil servants to finance their social security system.

ICMS - Imposto sobre a Circulação de Mercadorias e Serviços (Tax on the Circula-

tion of Goods and Transportation and Communication Services) -Value Added Tax on

Circulation of Goods and Interstate and Intercity Transportation and Communication

Services.

IPVA - Imposto sobre a Propriedade de Veículos Automotores (Tax on Motor Vehi-

cles) - Tax charged over the property of motorized any vehicles.

ITCD - Imposto sobre Transmissão Causa Mortis e Doação (Tax on inheritance and

Gifts) - Tax payable by every person or legal entity that receives goods and rights such

as inheritance or donation.

C.3 Municipal Government Taxes

CPSS/Municipal - Contribuição para o Plano de Seguridade Social do Servidor -

Municípios (Civil Servants’Social Security Contribution - Municipalities) Contribution

on the earnings of municipal civil servants to finance their social security system.

IPTU - Imposto Predial e Territorial Urbano (Tax on Urban Land and Property) Tax

levied on the property of urban real estate.

ISS - Imposto Sobre Serviços de Qualquer natureza (Tax on Services of any kind) -

Tax applied to the services provided to a third party by a company or professional and is

paid by the service provider. Includes services not covered by ICMS.

ITBI - Imposto sobre a Transmissão de Bens Imóveis Inter-Vivos (Tax on Real Estate

Conveyance) - Tax on the onerous transfer of immovable property or rights related to it.

D Adjustment of Data from SISTN

In order to adjust the SISTN database for the differences from the data on FINBRA, we

use the monthly data of each tax revenue from SISTN, labeled SISTN_XI,J,K , whereX ∈{IPTU, ISS, ITBI} , for each municipality and the Federal District I ∈ {1, ..., 5569} ,in each month J ∈ {1, ...12} of each year K ∈ {2006, ..., 2014}. The first step of the

54

adjustment was to compute the individual average share for each month’s revenue over

the total revenue of the year. For instance, the individual average share for tax X in

January, for municipality I, is given by:

Share_XI,Jan =

2014∑K=2006

SISTN_XI,Jan,K

2014∑K=2006

12∑J=1

SISTN_XI,J,K

(14)

The individual average share was computed for each municipality in each month, using

only those municipalities with information for all the 12 months in a given year.

We also compute an aggregate average share for all municipalities, which will be used

to distribute the data of those municipalities that have data on FINBRA, but do not have

enough monthly data to compute its own share. So, for example, the aggregate average

share for January is given by:

Share_XAvg,Jan =

5569∑I=1

2014∑K=2006

SISTN_XI,Jan,K

5569∑I=1

2014∑K=2006

12∑J=1

SISTN_XI,J,K

(15)

Equation 15 provides an aggregate average share of tax collection for each month. For

the observations of the municipalities for which there is data available both on SISTN

and on FINBRA, we obtain an adjusted tax revenue XI,J,K distributing the difference be-

tween the annual data from FINBRA (FINBRA_XI,K) and the 12-month accumulated

data from SISTN(

12∑J=1

SISTN_XI,J,K

). For those municipalities that we were able to

compute the individual average share:

XI,J,K = SISTN_XI,J,K + Share_XI,J ×(FINBRA_XI,K −

12∑J=1

SISTN_XI,J,K

)(16)

In a case where, in a given year, information is missing from SISTN for a given

municipality, but there is data from FINBRA, if we were able to compute the individual

average share for that municipality, just distribute the annual observation from FINBRA

according to the respective shares:

XI,J,K = Share_XI,J × FINBRA_XI,K (17)

For the case where it was not possible to get an individual average share for that

55

municipality, use the aggregate average share to distribute annual data from FINBRA:

XI,J,K = Share_XAvg,J × FINBRA_XI,K (18)

Finally, in a last case, if information on taxes is not available on FINBRA for a given

municipality in a given year, but there is data on SISTN, observation in SISTN is kept

in the adjusted database. The gap observed in table 4 between the FINBRA row and

the adjusted values for each tax is a consequence of keeping the SISTN observation for

municipalities where information from FINBRA was missing.

The computed individual and aggregate shares of revenues were also used to build an

extended quarterly dataset, incorporating information for the period between 1999 and

2005. In order to compute a monthly approximation of tax collection, latter aggregated for

quarterly frequency, we used annual information available on FINBRA and distributed

that value in each year, for every municipality, according to the shares computed in

equations 17 and 18. Thus, for the period 1999-2005, 12-month accumulated tax collection

from the approximation built using the shares matches exactly the annual value provided

by FINBRA.

With this procedure we end up with a monthly series that runs from January/1995 to

December/2014 for the three municipal taxes, that was later converted into quarterly se-

ries. We also use this procedure to adjust the payroll and social charges data for states and

municipalities at bimonthly frequency from SISTN with the annual data from FINBRA

(for municipalities) and from the National Treasury Secretariat in the Report of Budget

Execution of the States. The restriction of using only bimonthly data required an addi-

tional simplification hypothesis in order to build a quarterly time series. We assumed that

the value of government employees’compensations in bimesters containing information

for months from different quarters (B2 = March+April and B5 = September+October)

is equally split in each month. Thus we split information for the second (fifth) bimester

putting half in the first (third) quarter and half in the second (fourth) quarter. The figure

below illustrates the procedure:

Q1 Q2 Q3 Q4

B1 B2 B3 B4 B5 B6

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

⇓Q1 = Q3 = Q3 = Q4 =

B1 + (1/2)×B2 (1/2)×B2 +B3 B4 + (1/2)×B5 (1/2)×B5 +B6

56